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Simplifying 3(2x + -5) = 4(x + -1) Reorder the terms: 3(-5 + 2x) = 4(x + -1) (-5 * 3 + 2x * 3) = 4(x + -1) (-15 + 6x) = 4(x + -1) Reorder the terms: -15 + 6x = 4(-1 + x) -15 + 6x = (-1 * 4 + x * 4) -15 + 6x = (-4 + 4x) Solving -15 + 6x = -4 + 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. -15 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x -15 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 2x = -4 + 0 -15 + 2x = -4 Add '15' to each side of the equation. -15 + 15 + 2x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -4 + 15 2x = -4 + 15 Combine like terms: -4 + 15 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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