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Simplifying 8(6x + 10) + -4(-7x + -10) = 3(5x + -6) Reorder the terms: 8(10 + 6x) + -4(-7x + -10) = 3(5x + -6) (10 * 8 + 6x * 8) + -4(-7x + -10) = 3(5x + -6) (80 + 48x) + -4(-7x + -10) = 3(5x + -6) Reorder the terms: 80 + 48x + -4(-10 + -7x) = 3(5x + -6) 80 + 48x + (-10 * -4 + -7x * -4) = 3(5x + -6) 80 + 48x + (40 + 28x) = 3(5x + -6) Reorder the terms: 80 + 40 + 48x + 28x = 3(5x + -6) Combine like terms: 80 + 40 = 120 120 + 48x + 28x = 3(5x + -6) Combine like terms: 48x + 28x = 76x 120 + 76x = 3(5x + -6) Reorder the terms: 120 + 76x = 3(-6 + 5x) 120 + 76x = (-6 * 3 + 5x * 3) 120 + 76x = (-18 + 15x) Solving 120 + 76x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 120 + 76x + -15x = -18 + 15x + -15x Combine like terms: 76x + -15x = 61x 120 + 61x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 120 + 61x = -18 + 0 120 + 61x = -18 Add '-120' to each side of the equation. 120 + -120 + 61x = -18 + -120 Combine like terms: 120 + -120 = 0 0 + 61x = -18 + -120 61x = -18 + -120 Combine like terms: -18 + -120 = -138 61x = -138 Divide each side by '61'. x = -2.262295082 Simplifying x = -2.262295082
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