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Simplifying -4(x + 3) + 2x = 8 + -7(x + -4) Reorder the terms: -4(3 + x) + 2x = 8 + -7(x + -4) (3 * -4 + x * -4) + 2x = 8 + -7(x + -4) (-12 + -4x) + 2x = 8 + -7(x + -4) Combine like terms: -4x + 2x = -2x -12 + -2x = 8 + -7(x + -4) Reorder the terms: -12 + -2x = 8 + -7(-4 + x) -12 + -2x = 8 + (-4 * -7 + x * -7) -12 + -2x = 8 + (28 + -7x) Combine like terms: 8 + 28 = 36 -12 + -2x = 36 + -7x Solving -12 + -2x = 36 + -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. -12 + -2x + 7x = 36 + -7x + 7x Combine like terms: -2x + 7x = 5x -12 + 5x = 36 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 5x = 36 + 0 -12 + 5x = 36 Add '12' to each side of the equation. -12 + 12 + 5x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 36 + 12 5x = 36 + 12 Combine like terms: 36 + 12 = 48 5x = 48 Divide each side by '5'. x = 9.6 Simplifying x = 9.6
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