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Simplifying 5x + -1 = 2(x + 4) + -7 Reorder the terms: -1 + 5x = 2(x + 4) + -7 Reorder the terms: -1 + 5x = 2(4 + x) + -7 -1 + 5x = (4 * 2 + x * 2) + -7 -1 + 5x = (8 + 2x) + -7 Reorder the terms: -1 + 5x = 8 + -7 + 2x Combine like terms: 8 + -7 = 1 -1 + 5x = 1 + 2x Solving -1 + 5x = 1 + 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. -1 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = 1 + 0 -1 + 3x = 1 Add '1' to each side of the equation. -1 + 1 + 3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 1 + 1 3x = 1 + 1 Combine like terms: 1 + 1 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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