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Simplifying 4(2x + 1) + -3(x + -2) = 1 + -2(x + -6) Reorder the terms: 4(1 + 2x) + -3(x + -2) = 1 + -2(x + -6) (1 * 4 + 2x * 4) + -3(x + -2) = 1 + -2(x + -6) (4 + 8x) + -3(x + -2) = 1 + -2(x + -6) Reorder the terms: 4 + 8x + -3(-2 + x) = 1 + -2(x + -6) 4 + 8x + (-2 * -3 + x * -3) = 1 + -2(x + -6) 4 + 8x + (6 + -3x) = 1 + -2(x + -6) Reorder the terms: 4 + 6 + 8x + -3x = 1 + -2(x + -6) Combine like terms: 4 + 6 = 10 10 + 8x + -3x = 1 + -2(x + -6) Combine like terms: 8x + -3x = 5x 10 + 5x = 1 + -2(x + -6) Reorder the terms: 10 + 5x = 1 + -2(-6 + x) 10 + 5x = 1 + (-6 * -2 + x * -2) 10 + 5x = 1 + (12 + -2x) Combine like terms: 1 + 12 = 13 10 + 5x = 13 + -2x Solving 10 + 5x = 13 + -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. 10 + 5x + 2x = 13 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = 13 + 0 10 + 7x = 13 Add '-10' to each side of the equation. 10 + -10 + 7x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 13 + -10 7x = 13 + -10 Combine like terms: 13 + -10 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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