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Simplifying 3x + -1(4x + 12) = 1x + -48 Reorder the terms: 3x + -1(12 + 4x) = 1x + -48 3x + (12 * -1 + 4x * -1) = 1x + -48 3x + (-12 + -4x) = 1x + -48 Reorder the terms: -12 + 3x + -4x = 1x + -48 Combine like terms: 3x + -4x = -1x -12 + -1x = 1x + -48 Reorder the terms: -12 + -1x = -48 + 1x Solving -12 + -1x = -48 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -1x + -1x = -48 + 1x + -1x Combine like terms: -1x + -1x = -2x -12 + -2x = -48 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -2x = -48 + 0 -12 + -2x = -48 Add '12' to each side of the equation. -12 + 12 + -2x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -48 + 12 -2x = -48 + 12 Combine like terms: -48 + 12 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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