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Simplifying 4x + 2(-3 + 5x) = 1 + -1x 4x + (-3 * 2 + 5x * 2) = 1 + -1x 4x + (-6 + 10x) = 1 + -1x Reorder the terms: -6 + 4x + 10x = 1 + -1x Combine like terms: 4x + 10x = 14x -6 + 14x = 1 + -1x Solving -6 + 14x = 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. -6 + 14x + x = 1 + -1x + x Combine like terms: 14x + x = 15x -6 + 15x = 1 + -1x + x Combine like terms: -1x + x = 0 -6 + 15x = 1 + 0 -6 + 15x = 1 Add '6' to each side of the equation. -6 + 6 + 15x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 1 + 6 15x = 1 + 6 Combine like terms: 1 + 6 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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