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Simplifying 5(2x + -5) + -4(x + -2) = 3x + -6(4 + -1x) + 13 Reorder the terms: 5(-5 + 2x) + -4(x + -2) = 3x + -6(4 + -1x) + 13 (-5 * 5 + 2x * 5) + -4(x + -2) = 3x + -6(4 + -1x) + 13 (-25 + 10x) + -4(x + -2) = 3x + -6(4 + -1x) + 13 Reorder the terms: -25 + 10x + -4(-2 + x) = 3x + -6(4 + -1x) + 13 -25 + 10x + (-2 * -4 + x * -4) = 3x + -6(4 + -1x) + 13 -25 + 10x + (8 + -4x) = 3x + -6(4 + -1x) + 13 Reorder the terms: -25 + 8 + 10x + -4x = 3x + -6(4 + -1x) + 13 Combine like terms: -25 + 8 = -17 -17 + 10x + -4x = 3x + -6(4 + -1x) + 13 Combine like terms: 10x + -4x = 6x -17 + 6x = 3x + -6(4 + -1x) + 13 -17 + 6x = 3x + (4 * -6 + -1x * -6) + 13 -17 + 6x = 3x + (-24 + 6x) + 13 Reorder the terms: -17 + 6x = -24 + 13 + 3x + 6x Combine like terms: -24 + 13 = -11 -17 + 6x = -11 + 3x + 6x Combine like terms: 3x + 6x = 9x -17 + 6x = -11 + 9x Solving -17 + 6x = -11 + 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. -17 + 6x + -9x = -11 + 9x + -9x Combine like terms: 6x + -9x = -3x -17 + -3x = -11 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + -3x = -11 + 0 -17 + -3x = -11 Add '17' to each side of the equation. -17 + 17 + -3x = -11 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = -11 + 17 -3x = -11 + 17 Combine like terms: -11 + 17 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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