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Simplifying 13 + -5(2x + -9) = -1(-6x + 10) + 5 Reorder the terms: 13 + -5(-9 + 2x) = -1(-6x + 10) + 5 13 + (-9 * -5 + 2x * -5) = -1(-6x + 10) + 5 13 + (45 + -10x) = -1(-6x + 10) + 5 Combine like terms: 13 + 45 = 58 58 + -10x = -1(-6x + 10) + 5 Reorder the terms: 58 + -10x = -1(10 + -6x) + 5 58 + -10x = (10 * -1 + -6x * -1) + 5 58 + -10x = (-10 + 6x) + 5 Reorder the terms: 58 + -10x = -10 + 5 + 6x Combine like terms: -10 + 5 = -5 58 + -10x = -5 + 6x Solving 58 + -10x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 58 + -10x + -6x = -5 + 6x + -6x Combine like terms: -10x + -6x = -16x 58 + -16x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 58 + -16x = -5 + 0 58 + -16x = -5 Add '-58' to each side of the equation. 58 + -58 + -16x = -5 + -58 Combine like terms: 58 + -58 = 0 0 + -16x = -5 + -58 -16x = -5 + -58 Combine like terms: -5 + -58 = -63 -16x = -63 Divide each side by '-16'. x = 3.9375 Simplifying x = 3.9375
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