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Simplifying -3x + 4(2x + 2) = 3(5x + -3) + 7 Reorder the terms: -3x + 4(2 + 2x) = 3(5x + -3) + 7 -3x + (2 * 4 + 2x * 4) = 3(5x + -3) + 7 -3x + (8 + 8x) = 3(5x + -3) + 7 Reorder the terms: 8 + -3x + 8x = 3(5x + -3) + 7 Combine like terms: -3x + 8x = 5x 8 + 5x = 3(5x + -3) + 7 Reorder the terms: 8 + 5x = 3(-3 + 5x) + 7 8 + 5x = (-3 * 3 + 5x * 3) + 7 8 + 5x = (-9 + 15x) + 7 Reorder the terms: 8 + 5x = -9 + 7 + 15x Combine like terms: -9 + 7 = -2 8 + 5x = -2 + 15x Solving 8 + 5x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 5x + -15x = -2 + 15x + -15x Combine like terms: 5x + -15x = -10x 8 + -10x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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