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