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Simplifying 4(2x + 2.5) + -3(4x + -17) = 5(4x + -7) Reorder the terms: 4(2.5 + 2x) + -3(4x + -17) = 5(4x + -7) (2.5 * 4 + 2x * 4) + -3(4x + -17) = 5(4x + -7) (10 + 8x) + -3(4x + -17) = 5(4x + -7) Reorder the terms: 10 + 8x + -3(-17 + 4x) = 5(4x + -7) 10 + 8x + (-17 * -3 + 4x * -3) = 5(4x + -7) 10 + 8x + (51 + -12x) = 5(4x + -7) Reorder the terms: 10 + 51 + 8x + -12x = 5(4x + -7) Combine like terms: 10 + 51 = 61 61 + 8x + -12x = 5(4x + -7) Combine like terms: 8x + -12x = -4x 61 + -4x = 5(4x + -7) Reorder the terms: 61 + -4x = 5(-7 + 4x) 61 + -4x = (-7 * 5 + 4x * 5) 61 + -4x = (-35 + 20x) Solving 61 + -4x = -35 + 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. 61 + -4x + -20x = -35 + 20x + -20x Combine like terms: -4x + -20x = -24x 61 + -24x = -35 + 20x + -20x Combine like terms: 20x + -20x = 0 61 + -24x = -35 + 0 61 + -24x = -35 Add '-61' to each side of the equation. 61 + -61 + -24x = -35 + -61 Combine like terms: 61 + -61 = 0 0 + -24x = -35 + -61 -24x = -35 + -61 Combine like terms: -35 + -61 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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