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Simplifying -6x + 1 = 8(-2x + -8) + -3x Reorder the terms: 1 + -6x = 8(-2x + -8) + -3x Reorder the terms: 1 + -6x = 8(-8 + -2x) + -3x 1 + -6x = (-8 * 8 + -2x * 8) + -3x 1 + -6x = (-64 + -16x) + -3x Combine like terms: -16x + -3x = -19x 1 + -6x = -64 + -19x Solving 1 + -6x = -64 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 1 + -6x + 19x = -64 + -19x + 19x Combine like terms: -6x + 19x = 13x 1 + 13x = -64 + -19x + 19x Combine like terms: -19x + 19x = 0 1 + 13x = -64 + 0 1 + 13x = -64 Add '-1' to each side of the equation. 1 + -1 + 13x = -64 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = -64 + -1 13x = -64 + -1 Combine like terms: -64 + -1 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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