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Simplifying 2x + -3(m + 1) = 4(m + 3) Reorder the terms: 2x + -3(1 + m) = 4(m + 3) 2x + (1 * -3 + m * -3) = 4(m + 3) 2x + (-3 + -3m) = 4(m + 3) Reorder the terms: -3 + -3m + 2x = 4(m + 3) Reorder the terms: -3 + -3m + 2x = 4(3 + m) -3 + -3m + 2x = (3 * 4 + m * 4) -3 + -3m + 2x = (12 + 4m) Solving -3 + -3m + 2x = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -3 + -3m + -4m + 2x = 12 + 4m + -4m Combine like terms: -3m + -4m = -7m -3 + -7m + 2x = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -3 + -7m + 2x = 12 + 0 -3 + -7m + 2x = 12 Add '3' to each side of the equation. -3 + -7m + 3 + 2x = 12 + 3 Reorder the terms: -3 + 3 + -7m + 2x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -7m + 2x = 12 + 3 -7m + 2x = 12 + 3 Combine like terms: 12 + 3 = 15 -7m + 2x = 15 Add '-2x' to each side of the equation. -7m + 2x + -2x = 15 + -2x Combine like terms: 2x + -2x = 0 -7m + 0 = 15 + -2x -7m = 15 + -2x Divide each side by '-7'. m = -2.142857143 + 0.2857142857x Simplifying m = -2.142857143 + 0.2857142857x
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