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Simplifying 8(3 + -2x) + 10x = 7 + -2(4 + -5x) (3 * 8 + -2x * 8) + 10x = 7 + -2(4 + -5x) (24 + -16x) + 10x = 7 + -2(4 + -5x) Combine like terms: -16x + 10x = -6x 24 + -6x = 7 + -2(4 + -5x) 24 + -6x = 7 + (4 * -2 + -5x * -2) 24 + -6x = 7 + (-8 + 10x) Combine like terms: 7 + -8 = -1 24 + -6x = -1 + 10x Solving 24 + -6x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -6x + -10x = -1 + 10x + -10x Combine like terms: -6x + -10x = -16x 24 + -16x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -16x = -1 + 0 24 + -16x = -1 Add '-24' to each side of the equation. 24 + -24 + -16x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = -1 + -24 -16x = -1 + -24 Combine like terms: -1 + -24 = -25 -16x = -25 Divide each side by '-16'. x = 1.5625 Simplifying x = 1.5625
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