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Simplifying -5x + -1(3x + -2) = 5 + -4(6x + 1) + 17 Reorder the terms: -5x + -1(-2 + 3x) = 5 + -4(6x + 1) + 17 -5x + (-2 * -1 + 3x * -1) = 5 + -4(6x + 1) + 17 -5x + (2 + -3x) = 5 + -4(6x + 1) + 17 Reorder the terms: 2 + -5x + -3x = 5 + -4(6x + 1) + 17 Combine like terms: -5x + -3x = -8x 2 + -8x = 5 + -4(6x + 1) + 17 Reorder the terms: 2 + -8x = 5 + -4(1 + 6x) + 17 2 + -8x = 5 + (1 * -4 + 6x * -4) + 17 2 + -8x = 5 + (-4 + -24x) + 17 Reorder the terms: 2 + -8x = 5 + -4 + 17 + -24x Combine like terms: 5 + -4 = 1 2 + -8x = 1 + 17 + -24x Combine like terms: 1 + 17 = 18 2 + -8x = 18 + -24x Solving 2 + -8x = 18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 2 + -8x + 24x = 18 + -24x + 24x Combine like terms: -8x + 24x = 16x 2 + 16x = 18 + -24x + 24x Combine like terms: -24x + 24x = 0 2 + 16x = 18 + 0 2 + 16x = 18 Add '-2' to each side of the equation. 2 + -2 + 16x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 18 + -2 16x = 18 + -2 Combine like terms: 18 + -2 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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