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Simplifying 5(2x + -5) + 9 + -1x + -3 = 2(x + -2) + -1x + 1 Reorder the terms: 5(-5 + 2x) + 9 + -1x + -3 = 2(x + -2) + -1x + 1 (-5 * 5 + 2x * 5) + 9 + -1x + -3 = 2(x + -2) + -1x + 1 (-25 + 10x) + 9 + -1x + -3 = 2(x + -2) + -1x + 1 Reorder the terms: -25 + 9 + -3 + 10x + -1x = 2(x + -2) + -1x + 1 Combine like terms: -25 + 9 = -16 -16 + -3 + 10x + -1x = 2(x + -2) + -1x + 1 Combine like terms: -16 + -3 = -19 -19 + 10x + -1x = 2(x + -2) + -1x + 1 Combine like terms: 10x + -1x = 9x -19 + 9x = 2(x + -2) + -1x + 1 Reorder the terms: -19 + 9x = 2(-2 + x) + -1x + 1 -19 + 9x = (-2 * 2 + x * 2) + -1x + 1 -19 + 9x = (-4 + 2x) + -1x + 1 Reorder the terms: -19 + 9x = -4 + 1 + 2x + -1x Combine like terms: -4 + 1 = -3 -19 + 9x = -3 + 2x + -1x Combine like terms: 2x + -1x = 1x -19 + 9x = -3 + 1x Solving -19 + 9x = -3 + 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 + 9x + -1x = -3 + 1x + -1x Combine like terms: 9x + -1x = 8x -19 + 8x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -19 + 8x = -3 + 0 -19 + 8x = -3 Add '19' to each side of the equation. -19 + 19 + 8x = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = -3 + 19 8x = -3 + 19 Combine like terms: -3 + 19 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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