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Simplifying 3x + -2(6x + -10) = 16 + 3(5x + 4) Reorder the terms: 3x + -2(-10 + 6x) = 16 + 3(5x + 4) 3x + (-10 * -2 + 6x * -2) = 16 + 3(5x + 4) 3x + (20 + -12x) = 16 + 3(5x + 4) Reorder the terms: 20 + 3x + -12x = 16 + 3(5x + 4) Combine like terms: 3x + -12x = -9x 20 + -9x = 16 + 3(5x + 4) Reorder the terms: 20 + -9x = 16 + 3(4 + 5x) 20 + -9x = 16 + (4 * 3 + 5x * 3) 20 + -9x = 16 + (12 + 15x) Combine like terms: 16 + 12 = 28 20 + -9x = 28 + 15x Solving 20 + -9x = 28 + 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. 20 + -9x + -15x = 28 + 15x + -15x Combine like terms: -9x + -15x = -24x 20 + -24x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -24x = 28 + 0 20 + -24x = 28 Add '-20' to each side of the equation. 20 + -20 + -24x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -24x = 28 + -20 -24x = 28 + -20 Combine like terms: 28 + -20 = 8 -24x = 8 Divide each side by '-24'. x = -0.3333333333 Simplifying x = -0.3333333333
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