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Simplifying 3(x + 4) = -2(x + -7) + -15x Reorder the terms: 3(4 + x) = -2(x + -7) + -15x (4 * 3 + x * 3) = -2(x + -7) + -15x (12 + 3x) = -2(x + -7) + -15x Reorder the terms: 12 + 3x = -2(-7 + x) + -15x 12 + 3x = (-7 * -2 + x * -2) + -15x 12 + 3x = (14 + -2x) + -15x Combine like terms: -2x + -15x = -17x 12 + 3x = 14 + -17x Solving 12 + 3x = 14 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 12 + 3x + 17x = 14 + -17x + 17x Combine like terms: 3x + 17x = 20x 12 + 20x = 14 + -17x + 17x Combine like terms: -17x + 17x = 0 12 + 20x = 14 + 0 12 + 20x = 14 Add '-12' to each side of the equation. 12 + -12 + 20x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = 14 + -12 20x = 14 + -12 Combine like terms: 14 + -12 = 2 20x = 2 Divide each side by '20'. x = 0.1 Simplifying x = 0.1
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