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Simplifying 2x + 3(-4 + 5x) = 1 + -1x 2x + (-4 * 3 + 5x * 3) = 1 + -1x 2x + (-12 + 15x) = 1 + -1x Reorder the terms: -12 + 2x + 15x = 1 + -1x Combine like terms: 2x + 15x = 17x -12 + 17x = 1 + -1x Solving -12 + 17x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 17x + x = 1 + -1x + x Combine like terms: 17x + x = 18x -12 + 18x = 1 + -1x + x Combine like terms: -1x + x = 0 -12 + 18x = 1 + 0 -12 + 18x = 1 Add '12' to each side of the equation. -12 + 12 + 18x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 1 + 12 18x = 1 + 12 Combine like terms: 1 + 12 = 13 18x = 13 Divide each side by '18'. x = 0.7222222222 Simplifying x = 0.7222222222
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