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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 = 11 12 + 11x = (11 + -10x + -3x) + 19 Combine like terms: -10x + -3x = -13x 12 + 11x = (11 + -13x) + 19 Remove parenthesis around (11 + -13x) 12 + 11x = 11 + -13x + 19 Reorder the terms: 12 + 11x = 11 + 19 + -13x Combine like terms: 11 + 19 = 30 12 + 11x = 30 + -13x Solving 12 + 11x = 30 + -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 = 30 + -13x + 13x Combine like terms: 11x + 13x = 24x 12 + 24x = 30 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 24x = 30 + 0 12 + 24x = 30 Add '-12' to each side of the equation. 12 + -12 + 24x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 30 + -12 24x = 30 + -12 Combine like terms: 30 + -12 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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