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Simplifying 4(3x + -1) + 2(x + -3) = 5(2x + -3) + 3x Reorder the terms: 4(-1 + 3x) + 2(x + -3) = 5(2x + -3) + 3x (-1 * 4 + 3x * 4) + 2(x + -3) = 5(2x + -3) + 3x (-4 + 12x) + 2(x + -3) = 5(2x + -3) + 3x Reorder the terms: -4 + 12x + 2(-3 + x) = 5(2x + -3) + 3x -4 + 12x + (-3 * 2 + x * 2) = 5(2x + -3) + 3x -4 + 12x + (-6 + 2x) = 5(2x + -3) + 3x Reorder the terms: -4 + -6 + 12x + 2x = 5(2x + -3) + 3x Combine like terms: -4 + -6 = -10 -10 + 12x + 2x = 5(2x + -3) + 3x Combine like terms: 12x + 2x = 14x -10 + 14x = 5(2x + -3) + 3x Reorder the terms: -10 + 14x = 5(-3 + 2x) + 3x -10 + 14x = (-3 * 5 + 2x * 5) + 3x -10 + 14x = (-15 + 10x) + 3x Combine like terms: 10x + 3x = 13x -10 + 14x = -15 + 13x Solving -10 + 14x = -15 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 14x + -13x = -15 + 13x + -13x Combine like terms: 14x + -13x = 1x -10 + 1x = -15 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 1x = -15 + 0 -10 + 1x = -15 Add '10' to each side of the equation. -10 + 10 + 1x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -15 + 10 1x = -15 + 10 Combine like terms: -15 + 10 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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