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