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Simplifying 3x + -7 = 5(1 + 2x) + -1x Reorder the terms: -7 + 3x = 5(1 + 2x) + -1x -7 + 3x = (1 * 5 + 2x * 5) + -1x -7 + 3x = (5 + 10x) + -1x Combine like terms: 10x + -1x = 9x -7 + 3x = 5 + 9x Solving -7 + 3x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 3x + -9x = 5 + 9x + -9x Combine like terms: 3x + -9x = -6x -7 + -6x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -6x = 5 + 0 -7 + -6x = 5 Add '7' to each side of the equation. -7 + 7 + -6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 5 + 7 -6x = 5 + 7 Combine like terms: 5 + 7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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