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Simplifying 3(3x + -5) + -2(4 + -3x) + -4(1 + -2x) = 5(3x + -2) Reorder the terms: 3(-5 + 3x) + -2(4 + -3x) + -4(1 + -2x) = 5(3x + -2) (-5 * 3 + 3x * 3) + -2(4 + -3x) + -4(1 + -2x) = 5(3x + -2) (-15 + 9x) + -2(4 + -3x) + -4(1 + -2x) = 5(3x + -2) -15 + 9x + (4 * -2 + -3x * -2) + -4(1 + -2x) = 5(3x + -2) -15 + 9x + (-8 + 6x) + -4(1 + -2x) = 5(3x + -2) -15 + 9x + -8 + 6x + (1 * -4 + -2x * -4) = 5(3x + -2) -15 + 9x + -8 + 6x + (-4 + 8x) = 5(3x + -2) Reorder the terms: -15 + -8 + -4 + 9x + 6x + 8x = 5(3x + -2) Combine like terms: -15 + -8 = -23 -23 + -4 + 9x + 6x + 8x = 5(3x + -2) Combine like terms: -23 + -4 = -27 -27 + 9x + 6x + 8x = 5(3x + -2) Combine like terms: 9x + 6x = 15x -27 + 15x + 8x = 5(3x + -2) Combine like terms: 15x + 8x = 23x -27 + 23x = 5(3x + -2) Reorder the terms: -27 + 23x = 5(-2 + 3x) -27 + 23x = (-2 * 5 + 3x * 5) -27 + 23x = (-10 + 15x) Solving -27 + 23x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -27 + 23x + -15x = -10 + 15x + -15x Combine like terms: 23x + -15x = 8x -27 + 8x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + 8x = -10 + 0 -27 + 8x = -10 Add '27' to each side of the equation. -27 + 27 + 8x = -10 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = -10 + 27 8x = -10 + 27 Combine like terms: -10 + 27 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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