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Simplifying -1 = 5(x + -6) + -4(2 + -3x) Reorder the terms: -1 = 5(-6 + x) + -4(2 + -3x) -1 = (-6 * 5 + x * 5) + -4(2 + -3x) -1 = (-30 + 5x) + -4(2 + -3x) -1 = -30 + 5x + (2 * -4 + -3x * -4) -1 = -30 + 5x + (-8 + 12x) Reorder the terms: -1 = -30 + -8 + 5x + 12x Combine like terms: -30 + -8 = -38 -1 = -38 + 5x + 12x Combine like terms: 5x + 12x = 17x -1 = -38 + 17x Solving -1 = -38 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -1 + -17x = -38 + 17x + -17x Combine like terms: 17x + -17x = 0 -1 + -17x = -38 + 0 -1 + -17x = -38 Add '1' to each side of the equation. -1 + 1 + -17x = -38 + 1 Combine like terms: -1 + 1 = 0 0 + -17x = -38 + 1 -17x = -38 + 1 Combine like terms: -38 + 1 = -37 -17x = -37 Divide each side by '-17'. x = 2.176470588 Simplifying x = 2.176470588
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