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Simplifying -3(x + -4) + 5x = -2x + 4(3x + 7) Reorder the terms: -3(-4 + x) + 5x = -2x + 4(3x + 7) (-4 * -3 + x * -3) + 5x = -2x + 4(3x + 7) (12 + -3x) + 5x = -2x + 4(3x + 7) Combine like terms: -3x + 5x = 2x 12 + 2x = -2x + 4(3x + 7) Reorder the terms: 12 + 2x = -2x + 4(7 + 3x) 12 + 2x = -2x + (7 * 4 + 3x * 4) 12 + 2x = -2x + (28 + 12x) Reorder the terms: 12 + 2x = 28 + -2x + 12x Combine like terms: -2x + 12x = 10x 12 + 2x = 28 + 10x Solving 12 + 2x = 28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 2x + -10x = 28 + 10x + -10x Combine like terms: 2x + -10x = -8x 12 + -8x = 28 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -8x = 28 + 0 12 + -8x = 28 Add '-12' to each side of the equation. 12 + -12 + -8x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 28 + -12 -8x = 28 + -12 Combine like terms: 28 + -12 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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