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Simplifying 3(x + -2) = 4(x + -13) Reorder the terms: 3(-2 + x) = 4(x + -13) (-2 * 3 + x * 3) = 4(x + -13) (-6 + 3x) = 4(x + -13) Reorder the terms: -6 + 3x = 4(-13 + x) -6 + 3x = (-13 * 4 + x * 4) -6 + 3x = (-52 + 4x) Solving -6 + 3x = -52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 3x + -4x = -52 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -52 + 0 -6 + -1x = -52 Add '6' to each side of the equation. -6 + 6 + -1x = -52 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -52 + 6 -1x = -52 + 6 Combine like terms: -52 + 6 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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