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Simplifying 5(-8x + 2) + -3 = 9x + -7(3x + -10) Reorder the terms: 5(2 + -8x) + -3 = 9x + -7(3x + -10) (2 * 5 + -8x * 5) + -3 = 9x + -7(3x + -10) (10 + -40x) + -3 = 9x + -7(3x + -10) Reorder the terms: 10 + -3 + -40x = 9x + -7(3x + -10) Combine like terms: 10 + -3 = 7 7 + -40x = 9x + -7(3x + -10) Reorder the terms: 7 + -40x = 9x + -7(-10 + 3x) 7 + -40x = 9x + (-10 * -7 + 3x * -7) 7 + -40x = 9x + (70 + -21x) Reorder the terms: 7 + -40x = 70 + 9x + -21x Combine like terms: 9x + -21x = -12x 7 + -40x = 70 + -12x Solving 7 + -40x = 70 + -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. 7 + -40x + 12x = 70 + -12x + 12x Combine like terms: -40x + 12x = -28x 7 + -28x = 70 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + -28x = 70 + 0 7 + -28x = 70 Add '-7' to each side of the equation. 7 + -7 + -28x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + -28x = 70 + -7 -28x = 70 + -7 Combine like terms: 70 + -7 = 63 -28x = 63 Divide each side by '-28'. x = -2.25 Simplifying x = -2.25
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