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Simplifying 7x + -2(4 + -3x) = 3(x + -4) + -36 7x + (4 * -2 + -3x * -2) = 3(x + -4) + -36 7x + (-8 + 6x) = 3(x + -4) + -36 Reorder the terms: -8 + 7x + 6x = 3(x + -4) + -36 Combine like terms: 7x + 6x = 13x -8 + 13x = 3(x + -4) + -36 Reorder the terms: -8 + 13x = 3(-4 + x) + -36 -8 + 13x = (-4 * 3 + x * 3) + -36 -8 + 13x = (-12 + 3x) + -36 Reorder the terms: -8 + 13x = -12 + -36 + 3x Combine like terms: -12 + -36 = -48 -8 + 13x = -48 + 3x Solving -8 + 13x = -48 + 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. -8 + 13x + -3x = -48 + 3x + -3x Combine like terms: 13x + -3x = 10x -8 + 10x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 10x = -48 + 0 -8 + 10x = -48 Add '8' to each side of the equation. -8 + 8 + 10x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -48 + 8 10x = -48 + 8 Combine like terms: -48 + 8 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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