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Simplifying 8(-3x + 5) + -4x = 14 + -2(6x + -9) Reorder the terms: 8(5 + -3x) + -4x = 14 + -2(6x + -9) (5 * 8 + -3x * 8) + -4x = 14 + -2(6x + -9) (40 + -24x) + -4x = 14 + -2(6x + -9) Combine like terms: -24x + -4x = -28x 40 + -28x = 14 + -2(6x + -9) Reorder the terms: 40 + -28x = 14 + -2(-9 + 6x) 40 + -28x = 14 + (-9 * -2 + 6x * -2) 40 + -28x = 14 + (18 + -12x) Combine like terms: 14 + 18 = 32 40 + -28x = 32 + -12x Solving 40 + -28x = 32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 40 + -28x + 12x = 32 + -12x + 12x Combine like terms: -28x + 12x = -16x 40 + -16x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 40 + -16x = 32 + 0 40 + -16x = 32 Add '-40' to each side of the equation. 40 + -40 + -16x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = 32 + -40 -16x = 32 + -40 Combine like terms: 32 + -40 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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