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Simplifying -17(x + 1) + 6(4 + -6) = 6(x + -6) + 10 Reorder the terms: -17(1 + x) + 6(4 + -6) = 6(x + -6) + 10 (1 * -17 + x * -17) + 6(4 + -6) = 6(x + -6) + 10 (-17 + -17x) + 6(4 + -6) = 6(x + -6) + 10 Combine like terms: 4 + -6 = -2 -17 + -17x + 6(-2) = 6(x + -6) + 10 Multiply 6 * -2 -17 + -17x + -12 = 6(x + -6) + 10 Reorder the terms: -17 + -12 + -17x = 6(x + -6) + 10 Combine like terms: -17 + -12 = -29 -29 + -17x = 6(x + -6) + 10 Reorder the terms: -29 + -17x = 6(-6 + x) + 10 -29 + -17x = (-6 * 6 + x * 6) + 10 -29 + -17x = (-36 + 6x) + 10 Reorder the terms: -29 + -17x = -36 + 10 + 6x Combine like terms: -36 + 10 = -26 -29 + -17x = -26 + 6x Solving -29 + -17x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -29 + -17x + -6x = -26 + 6x + -6x Combine like terms: -17x + -6x = -23x -29 + -23x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + -23x = -26 + 0 -29 + -23x = -26 Add '29' to each side of the equation. -29 + 29 + -23x = -26 + 29 Combine like terms: -29 + 29 = 0 0 + -23x = -26 + 29 -23x = -26 + 29 Combine like terms: -26 + 29 = 3 -23x = 3 Divide each side by '-23'. x = -0.1304347826 Simplifying x = -0.1304347826
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