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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 = -1x -12 + -1x = (-5(2x + -7) + -3(x + 8)) + 19 Reorder the terms: -12 + -1x = (-5(-7 + 2x) + -3(x + 8)) + 19 -12 + -1x = ((-7 * -5 + 2x * -5) + -3(x + 8)) + 19 -12 + -1x = ((35 + -10x) + -3(x + 8)) + 19 Reorder the terms: -12 + -1x = (35 + -10x + -3(8 + x)) + 19 -12 + -1x = (35 + -10x + (8 * -3 + x * -3)) + 19 -12 + -1x = (35 + -10x + (-24 + -3x)) + 19 Reorder the terms: -12 + -1x = (35 + -24 + -10x + -3x) + 19 Combine like terms: 35 + -24 = 11 -12 + -1x = (11 + -10x + -3x) + 19 Combine like terms: -10x + -3x = -13x -12 + -1x = (11 + -13x) + 19 Remove parenthesis around (11 + -13x) -12 + -1x = 11 + -13x + 19 Reorder the terms: -12 + -1x = 11 + 19 + -13x Combine like terms: 11 + 19 = 30 -12 + -1x = 30 + -13x Solving -12 + -1x = 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 + -1x + 13x = 30 + -13x + 13x Combine like terms: -1x + 13x = 12x -12 + 12x = 30 + -13x + 13x Combine like terms: -13x + 13x = 0 -12 + 12x = 30 + 0 -12 + 12x = 30 Add '12' to each side of the equation. -12 + 12 + 12x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 30 + 12 12x = 30 + 12 Combine like terms: 30 + 12 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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