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Simplifying 7(x + -5) + 23 = 9x + -1(2x + 7) * 5 Reorder the terms: 7(-5 + x) + 23 = 9x + -1(2x + 7) * 5 (-5 * 7 + x * 7) + 23 = 9x + -1(2x + 7) * 5 (-35 + 7x) + 23 = 9x + -1(2x + 7) * 5 Reorder the terms: -35 + 23 + 7x = 9x + -1(2x + 7) * 5 Combine like terms: -35 + 23 = -12 -12 + 7x = 9x + -1(2x + 7) * 5 Reorder the terms: -12 + 7x = 9x + -1(7 + 2x) * 5 Reorder the terms for easier multiplication: -12 + 7x = 9x + -1 * 5(7 + 2x) Multiply -1 * 5 -12 + 7x = 9x + -5(7 + 2x) -12 + 7x = 9x + (7 * -5 + 2x * -5) -12 + 7x = 9x + (-35 + -10x) Reorder the terms: -12 + 7x = -35 + 9x + -10x Combine like terms: 9x + -10x = -1x -12 + 7x = -35 + -1x Solving -12 + 7x = -35 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 7x + x = -35 + -1x + x Combine like terms: 7x + x = 8x -12 + 8x = -35 + -1x + x Combine like terms: -1x + x = 0 -12 + 8x = -35 + 0 -12 + 8x = -35 Add '12' to each side of the equation. -12 + 12 + 8x = -35 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -35 + 12 8x = -35 + 12 Combine like terms: -35 + 12 = -23 8x = -23 Divide each side by '8'. x = -2.875 Simplifying x = -2.875
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