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Simplifying 3(x + -2) + -4x = 5(x + -3) Reorder the terms: 3(-2 + x) + -4x = 5(x + -3) (-2 * 3 + x * 3) + -4x = 5(x + -3) (-6 + 3x) + -4x = 5(x + -3) Combine like terms: 3x + -4x = -1x -6 + -1x = 5(x + -3) Reorder the terms: -6 + -1x = 5(-3 + x) -6 + -1x = (-3 * 5 + x * 5) -6 + -1x = (-15 + 5x) Solving -6 + -1x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -1x + -5x = -15 + 5x + -5x Combine like terms: -1x + -5x = -6x -6 + -6x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -6x = -15 + 0 -6 + -6x = -15 Add '6' to each side of the equation. -6 + 6 + -6x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -15 + 6 -6x = -15 + 6 Combine like terms: -15 + 6 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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