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Simplifying 3(x + 4) + 5x = -7 + 2(x + -4) Reorder the terms: 3(4 + x) + 5x = -7 + 2(x + -4) (4 * 3 + x * 3) + 5x = -7 + 2(x + -4) (12 + 3x) + 5x = -7 + 2(x + -4) Combine like terms: 3x + 5x = 8x 12 + 8x = -7 + 2(x + -4) Reorder the terms: 12 + 8x = -7 + 2(-4 + x) 12 + 8x = -7 + (-4 * 2 + x * 2) 12 + 8x = -7 + (-8 + 2x) Combine like terms: -7 + -8 = -15 12 + 8x = -15 + 2x Solving 12 + 8x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 8x + -2x = -15 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = -15 + 0 12 + 6x = -15 Add '-12' to each side of the equation. 12 + -12 + 6x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -15 + -12 6x = -15 + -12 Combine like terms: -15 + -12 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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