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Simplifying 12 + -1(3x + -7) = 4 + -1x Reorder the terms: 12 + -1(-7 + 3x) = 4 + -1x 12 + (-7 * -1 + 3x * -1) = 4 + -1x 12 + (7 + -3x) = 4 + -1x Combine like terms: 12 + 7 = 19 19 + -3x = 4 + -1x Solving 19 + -3x = 4 + -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. 19 + -3x + x = 4 + -1x + x Combine like terms: -3x + x = -2x 19 + -2x = 4 + -1x + x Combine like terms: -1x + x = 0 19 + -2x = 4 + 0 19 + -2x = 4 Add '-19' to each side of the equation. 19 + -19 + -2x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 4 + -19 -2x = 4 + -19 Combine like terms: 4 + -19 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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