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Simplifying 3(x + -24) + 8 = -1(x + -12) + 28 Reorder the terms: 3(-24 + x) + 8 = -1(x + -12) + 28 (-24 * 3 + x * 3) + 8 = -1(x + -12) + 28 (-72 + 3x) + 8 = -1(x + -12) + 28 Reorder the terms: -72 + 8 + 3x = -1(x + -12) + 28 Combine like terms: -72 + 8 = -64 -64 + 3x = -1(x + -12) + 28 Reorder the terms: -64 + 3x = -1(-12 + x) + 28 -64 + 3x = (-12 * -1 + x * -1) + 28 -64 + 3x = (12 + -1x) + 28 Reorder the terms: -64 + 3x = 12 + 28 + -1x Combine like terms: 12 + 28 = 40 -64 + 3x = 40 + -1x Solving -64 + 3x = 40 + -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. -64 + 3x + x = 40 + -1x + x Combine like terms: 3x + x = 4x -64 + 4x = 40 + -1x + x Combine like terms: -1x + x = 0 -64 + 4x = 40 + 0 -64 + 4x = 40 Add '64' to each side of the equation. -64 + 64 + 4x = 40 + 64 Combine like terms: -64 + 64 = 0 0 + 4x = 40 + 64 4x = 40 + 64 Combine like terms: 40 + 64 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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