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Simplifying 2(3x + -5) + -5(2x + -3) = 4(5x + -4) Reorder the terms: 2(-5 + 3x) + -5(2x + -3) = 4(5x + -4) (-5 * 2 + 3x * 2) + -5(2x + -3) = 4(5x + -4) (-10 + 6x) + -5(2x + -3) = 4(5x + -4) Reorder the terms: -10 + 6x + -5(-3 + 2x) = 4(5x + -4) -10 + 6x + (-3 * -5 + 2x * -5) = 4(5x + -4) -10 + 6x + (15 + -10x) = 4(5x + -4) Reorder the terms: -10 + 15 + 6x + -10x = 4(5x + -4) Combine like terms: -10 + 15 = 5 5 + 6x + -10x = 4(5x + -4) Combine like terms: 6x + -10x = -4x 5 + -4x = 4(5x + -4) Reorder the terms: 5 + -4x = 4(-4 + 5x) 5 + -4x = (-4 * 4 + 5x * 4) 5 + -4x = (-16 + 20x) Solving 5 + -4x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + -4x + -20x = -16 + 20x + -20x Combine like terms: -4x + -20x = -24x 5 + -24x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -24x = -16 + 0 5 + -24x = -16 Add '-5' to each side of the equation. 5 + -5 + -24x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -24x = -16 + -5 -24x = -16 + -5 Combine like terms: -16 + -5 = -21 -24x = -21 Divide each side by '-24'. x = 0.875 Simplifying x = 0.875
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