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Simplifying 10(x + 7) = -4(x + 12) Reorder the terms: 10(7 + x) = -4(x + 12) (7 * 10 + x * 10) = -4(x + 12) (70 + 10x) = -4(x + 12) Reorder the terms: 70 + 10x = -4(12 + x) 70 + 10x = (12 * -4 + x * -4) 70 + 10x = (-48 + -4x) Solving 70 + 10x = -48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 70 + 10x + 4x = -48 + -4x + 4x Combine like terms: 10x + 4x = 14x 70 + 14x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 70 + 14x = -48 + 0 70 + 14x = -48 Add '-70' to each side of the equation. 70 + -70 + 14x = -48 + -70 Combine like terms: 70 + -70 = 0 0 + 14x = -48 + -70 14x = -48 + -70 Combine like terms: -48 + -70 = -118 14x = -118 Divide each side by '14'. x = -8.428571429 Simplifying x = -8.428571429
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