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Simplifying -12 + 4(x + 10) = x + -1(2x + -3) Reorder the terms: -12 + 4(10 + x) = x + -1(2x + -3) -12 + (10 * 4 + x * 4) = x + -1(2x + -3) -12 + (40 + 4x) = x + -1(2x + -3) Combine like terms: -12 + 40 = 28 28 + 4x = x + -1(2x + -3) Reorder the terms: 28 + 4x = x + -1(-3 + 2x) 28 + 4x = x + (-3 * -1 + 2x * -1) 28 + 4x = x + (3 + -2x) Reorder the terms: 28 + 4x = 3 + x + -2x Combine like terms: x + -2x = -1x 28 + 4x = 3 + -1x Solving 28 + 4x = 3 + -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. 28 + 4x + x = 3 + -1x + x Combine like terms: 4x + x = 5x 28 + 5x = 3 + -1x + x Combine like terms: -1x + x = 0 28 + 5x = 3 + 0 28 + 5x = 3 Add '-28' to each side of the equation. 28 + -28 + 5x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 3 + -28 5x = 3 + -28 Combine like terms: 3 + -28 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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