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Simplifying 5(2x + 4) + -1 = 3x + 4 + -2x Reorder the terms: 5(4 + 2x) + -1 = 3x + 4 + -2x (4 * 5 + 2x * 5) + -1 = 3x + 4 + -2x (20 + 10x) + -1 = 3x + 4 + -2x Reorder the terms: 20 + -1 + 10x = 3x + 4 + -2x Combine like terms: 20 + -1 = 19 19 + 10x = 3x + 4 + -2x Reorder the terms: 19 + 10x = 4 + 3x + -2x Combine like terms: 3x + -2x = 1x 19 + 10x = 4 + 1x Solving 19 + 10x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + 10x + -1x = 4 + 1x + -1x Combine like terms: 10x + -1x = 9x 19 + 9x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 19 + 9x = 4 + 0 19 + 9x = 4 Add '-19' to each side of the equation. 19 + -19 + 9x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 4 + -19 9x = 4 + -19 Combine like terms: 4 + -19 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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