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Simplifying 3x + 4(-3 + 5x) = 1 + -1x 3x + (-3 * 4 + 5x * 4) = 1 + -1x 3x + (-12 + 20x) = 1 + -1x Reorder the terms: -12 + 3x + 20x = 1 + -1x Combine like terms: 3x + 20x = 23x -12 + 23x = 1 + -1x Solving -12 + 23x = 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 + 23x + x = 1 + -1x + x Combine like terms: 23x + x = 24x -12 + 24x = 1 + -1x + x Combine like terms: -1x + x = 0 -12 + 24x = 1 + 0 -12 + 24x = 1 Add '12' to each side of the equation. -12 + 12 + 24x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 1 + 12 24x = 1 + 12 Combine like terms: 1 + 12 = 13 24x = 13 Divide each side by '24'. x = 0.5416666667 Simplifying x = 0.5416666667
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