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Simplifying 3x + 12 = -1x + -1(m + 13) Reorder the terms: 12 + 3x = -1x + -1(m + 13) Reorder the terms: 12 + 3x = -1x + -1(13 + m) 12 + 3x = -1x + (13 * -1 + m * -1) 12 + 3x = -1x + (-13 + -1m) Reorder the terms: 12 + 3x = -13 + -1m + -1x Solving 12 + 3x = -13 + -1m + -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. 12 + 3x + x = -13 + -1m + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = -13 + -1m + -1x + x Combine like terms: -1x + x = 0 12 + 4x = -13 + -1m + 0 12 + 4x = -13 + -1m Add '-12' to each side of the equation. 12 + -12 + 4x = -13 + -12 + -1m Combine like terms: 12 + -12 = 0 0 + 4x = -13 + -12 + -1m 4x = -13 + -12 + -1m Combine like terms: -13 + -12 = -25 4x = -25 + -1m Divide each side by '4'. x = -6.25 + -0.25m Simplifying x = -6.25 + -0.25m
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