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Simplifying 3(2x + -4) + 8 = -5(x + 3) * 1 + -1(2x + -7) Reorder the terms: 3(-4 + 2x) + 8 = -5(x + 3) * 1 + -1(2x + -7) (-4 * 3 + 2x * 3) + 8 = -5(x + 3) * 1 + -1(2x + -7) (-12 + 6x) + 8 = -5(x + 3) * 1 + -1(2x + -7) Reorder the terms: -12 + 8 + 6x = -5(x + 3) * 1 + -1(2x + -7) Combine like terms: -12 + 8 = -4 -4 + 6x = -5(x + 3) * 1 + -1(2x + -7) Reorder the terms: -4 + 6x = -5(3 + x) * 1 + -1(2x + -7) Reorder the terms for easier multiplication: -4 + 6x = -5 * 1(3 + x) + -1(2x + -7) Multiply -5 * 1 -4 + 6x = -5(3 + x) + -1(2x + -7) -4 + 6x = (3 * -5 + x * -5) + -1(2x + -7) -4 + 6x = (-15 + -5x) + -1(2x + -7) Reorder the terms: -4 + 6x = -15 + -5x + -1(-7 + 2x) -4 + 6x = -15 + -5x + (-7 * -1 + 2x * -1) -4 + 6x = -15 + -5x + (7 + -2x) Reorder the terms: -4 + 6x = -15 + 7 + -5x + -2x Combine like terms: -15 + 7 = -8 -4 + 6x = -8 + -5x + -2x Combine like terms: -5x + -2x = -7x -4 + 6x = -8 + -7x Solving -4 + 6x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + 6x + 7x = -8 + -7x + 7x Combine like terms: 6x + 7x = 13x -4 + 13x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 13x = -8 + 0 -4 + 13x = -8 Add '4' to each side of the equation. -4 + 4 + 13x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = -8 + 4 13x = -8 + 4 Combine like terms: -8 + 4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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