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Simplifying 5x + -3(-2(x + -2)) = (-5(2x + -7) + -3(x + -8)) + 19 Reorder the terms: 5x + -3(-2(-2 + x)) = (-5(2x + -7) + -3(x + -8)) + 19 5x + -3((-2 * -2 + x * -2)) = (-5(2x + -7) + -3(x + -8)) + 19 5x + -3((4 + -2x)) = (-5(2x + -7) + -3(x + -8)) + 19 5x + (4 * -3 + -2x * -3) = (-5(2x + -7) + -3(x + -8)) + 19 5x + (-12 + 6x) = (-5(2x + -7) + -3(x + -8)) + 19 Reorder the terms: -12 + 5x + 6x = (-5(2x + -7) + -3(x + -8)) + 19 Combine like terms: 5x + 6x = 11x -12 + 11x = (-5(2x + -7) + -3(x + -8)) + 19 Reorder the terms: -12 + 11x = (-5(-7 + 2x) + -3(x + -8)) + 19 -12 + 11x = ((-7 * -5 + 2x * -5) + -3(x + -8)) + 19 -12 + 11x = ((35 + -10x) + -3(x + -8)) + 19 Reorder the terms: -12 + 11x = (35 + -10x + -3(-8 + x)) + 19 -12 + 11x = (35 + -10x + (-8 * -3 + x * -3)) + 19 -12 + 11x = (35 + -10x + (24 + -3x)) + 19 Reorder the terms: -12 + 11x = (35 + 24 + -10x + -3x) + 19 Combine like terms: 35 + 24 = 59 -12 + 11x = (59 + -10x + -3x) + 19 Combine like terms: -10x + -3x = -13x -12 + 11x = (59 + -13x) + 19 Remove parenthesis around (59 + -13x) -12 + 11x = 59 + -13x + 19 Reorder the terms: -12 + 11x = 59 + 19 + -13x Combine like terms: 59 + 19 = 78 -12 + 11x = 78 + -13x Solving -12 + 11x = 78 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -12 + 11x + 13x = 78 + -13x + 13x Combine like terms: 11x + 13x = 24x -12 + 24x = 78 + -13x + 13x Combine like terms: -13x + 13x = 0 -12 + 24x = 78 + 0 -12 + 24x = 78 Add '12' to each side of the equation. -12 + 12 + 24x = 78 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 78 + 12 24x = 78 + 12 Combine like terms: 78 + 12 = 90 24x = 90 Divide each side by '24'. x = 3.75 Simplifying x = 3.75
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