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Simplifying 4(x + -12) = 2x + 10 Reorder the terms: 4(-12 + x) = 2x + 10 (-12 * 4 + x * 4) = 2x + 10 (-48 + 4x) = 2x + 10 Reorder the terms: -48 + 4x = 10 + 2x Solving -48 + 4x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -48 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -48 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 2x = 10 + 0 -48 + 2x = 10 Add '48' to each side of the equation. -48 + 48 + 2x = 10 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = 10 + 48 2x = 10 + 48 Combine like terms: 10 + 48 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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