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Simplifying -3(x + 2) + 4x = 5(x + -3) + -1x Reorder the terms: -3(2 + x) + 4x = 5(x + -3) + -1x (2 * -3 + x * -3) + 4x = 5(x + -3) + -1x (-6 + -3x) + 4x = 5(x + -3) + -1x Combine like terms: -3x + 4x = 1x -6 + 1x = 5(x + -3) + -1x Reorder the terms: -6 + 1x = 5(-3 + x) + -1x -6 + 1x = (-3 * 5 + x * 5) + -1x -6 + 1x = (-15 + 5x) + -1x Combine like terms: 5x + -1x = 4x -6 + 1x = -15 + 4x Solving -6 + 1x = -15 + 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 + 1x + -4x = -15 + 4x + -4x Combine like terms: 1x + -4x = -3x -6 + -3x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = -15 + 0 -6 + -3x = -15 Add '6' to each side of the equation. -6 + 6 + -3x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -15 + 6 -3x = -15 + 6 Combine like terms: -15 + 6 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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