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Simplifying x + 3(5x + -2) = 8 + -2(x + -4) Reorder the terms: x + 3(-2 + 5x) = 8 + -2(x + -4) x + (-2 * 3 + 5x * 3) = 8 + -2(x + -4) x + (-6 + 15x) = 8 + -2(x + -4) Reorder the terms: -6 + x + 15x = 8 + -2(x + -4) Combine like terms: x + 15x = 16x -6 + 16x = 8 + -2(x + -4) Reorder the terms: -6 + 16x = 8 + -2(-4 + x) -6 + 16x = 8 + (-4 * -2 + x * -2) -6 + 16x = 8 + (8 + -2x) Combine like terms: 8 + 8 = 16 -6 + 16x = 16 + -2x Solving -6 + 16x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 16x + 2x = 16 + -2x + 2x Combine like terms: 16x + 2x = 18x -6 + 18x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 18x = 16 + 0 -6 + 18x = 16 Add '6' to each side of the equation. -6 + 6 + 18x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 16 + 6 18x = 16 + 6 Combine like terms: 16 + 6 = 22 18x = 22 Divide each side by '18'. x = 1.222222222 Simplifying x = 1.222222222
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