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Simplifying 2(3x + -4) + 2x = -7 + -1(5 + -3x) + 4x Reorder the terms: 2(-4 + 3x) + 2x = -7 + -1(5 + -3x) + 4x (-4 * 2 + 3x * 2) + 2x = -7 + -1(5 + -3x) + 4x (-8 + 6x) + 2x = -7 + -1(5 + -3x) + 4x Combine like terms: 6x + 2x = 8x -8 + 8x = -7 + -1(5 + -3x) + 4x -8 + 8x = -7 + (5 * -1 + -3x * -1) + 4x -8 + 8x = -7 + (-5 + 3x) + 4x Combine like terms: -7 + -5 = -12 -8 + 8x = -12 + 3x + 4x Combine like terms: 3x + 4x = 7x -8 + 8x = -12 + 7x Solving -8 + 8x = -12 + 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. -8 + 8x + -7x = -12 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = -12 + 0 -8 + 1x = -12 Add '8' to each side of the equation. -8 + 8 + 1x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -12 + 8 1x = -12 + 8 Combine like terms: -12 + 8 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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