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Simplifying -4(2x + -6) = 10 + -1(x + -4) Reorder the terms: -4(-6 + 2x) = 10 + -1(x + -4) (-6 * -4 + 2x * -4) = 10 + -1(x + -4) (24 + -8x) = 10 + -1(x + -4) Reorder the terms: 24 + -8x = 10 + -1(-4 + x) 24 + -8x = 10 + (-4 * -1 + x * -1) 24 + -8x = 10 + (4 + -1x) Combine like terms: 10 + 4 = 14 24 + -8x = 14 + -1x Solving 24 + -8x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 24 + -8x + x = 14 + -1x + x Combine like terms: -8x + x = -7x 24 + -7x = 14 + -1x + x Combine like terms: -1x + x = 0 24 + -7x = 14 + 0 24 + -7x = 14 Add '-24' to each side of the equation. 24 + -24 + -7x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 14 + -24 -7x = 14 + -24 Combine like terms: 14 + -24 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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