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Simplifying 5(2x + -3) + -1x = x + 1 Reorder the terms: 5(-3 + 2x) + -1x = x + 1 (-3 * 5 + 2x * 5) + -1x = x + 1 (-15 + 10x) + -1x = x + 1 Combine like terms: 10x + -1x = 9x -15 + 9x = x + 1 Reorder the terms: -15 + 9x = 1 + x Solving -15 + 9x = 1 + x 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. -15 + 9x + -1x = 1 + x + -1x Combine like terms: 9x + -1x = 8x -15 + 8x = 1 + x + -1x Combine like terms: x + -1x = 0 -15 + 8x = 1 + 0 -15 + 8x = 1 Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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