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Simplifying 7x + -2(2 + -3x) = 3(x + -4) + -42 7x + (2 * -2 + -3x * -2) = 3(x + -4) + -42 7x + (-4 + 6x) = 3(x + -4) + -42 Reorder the terms: -4 + 7x + 6x = 3(x + -4) + -42 Combine like terms: 7x + 6x = 13x -4 + 13x = 3(x + -4) + -42 Reorder the terms: -4 + 13x = 3(-4 + x) + -42 -4 + 13x = (-4 * 3 + x * 3) + -42 -4 + 13x = (-12 + 3x) + -42 Reorder the terms: -4 + 13x = -12 + -42 + 3x Combine like terms: -12 + -42 = -54 -4 + 13x = -54 + 3x Solving -4 + 13x = -54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 13x + -3x = -54 + 3x + -3x Combine like terms: 13x + -3x = 10x -4 + 10x = -54 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 10x = -54 + 0 -4 + 10x = -54 Add '4' to each side of the equation. -4 + 4 + 10x = -54 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -54 + 4 10x = -54 + 4 Combine like terms: -54 + 4 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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