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Simplifying -4(x + -3) = 10(x + 4) Reorder the terms: -4(-3 + x) = 10(x + 4) (-3 * -4 + x * -4) = 10(x + 4) (12 + -4x) = 10(x + 4) Reorder the terms: 12 + -4x = 10(4 + x) 12 + -4x = (4 * 10 + x * 10) 12 + -4x = (40 + 10x) Solving 12 + -4x = 40 + 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 + -4x + -10x = 40 + 10x + -10x Combine like terms: -4x + -10x = -14x 12 + -14x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -14x = 40 + 0 12 + -14x = 40 Add '-12' to each side of the equation. 12 + -12 + -14x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 40 + -12 -14x = 40 + -12 Combine like terms: 40 + -12 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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