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Simplifying -5x + -13 = -2 + 8(6x + -8) Reorder the terms: -13 + -5x = -2 + 8(6x + -8) Reorder the terms: -13 + -5x = -2 + 8(-8 + 6x) -13 + -5x = -2 + (-8 * 8 + 6x * 8) -13 + -5x = -2 + (-64 + 48x) Combine like terms: -2 + -64 = -66 -13 + -5x = -66 + 48x Solving -13 + -5x = -66 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -13 + -5x + -48x = -66 + 48x + -48x Combine like terms: -5x + -48x = -53x -13 + -53x = -66 + 48x + -48x Combine like terms: 48x + -48x = 0 -13 + -53x = -66 + 0 -13 + -53x = -66 Add '13' to each side of the equation. -13 + 13 + -53x = -66 + 13 Combine like terms: -13 + 13 = 0 0 + -53x = -66 + 13 -53x = -66 + 13 Combine like terms: -66 + 13 = -53 -53x = -53 Divide each side by '-53'. x = 1 Simplifying x = 1
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