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Simplifying 2(5x + -8) + 61 = -8(x + -8) + 12x + -13 Reorder the terms: 2(-8 + 5x) + 61 = -8(x + -8) + 12x + -13 (-8 * 2 + 5x * 2) + 61 = -8(x + -8) + 12x + -13 (-16 + 10x) + 61 = -8(x + -8) + 12x + -13 Reorder the terms: -16 + 61 + 10x = -8(x + -8) + 12x + -13 Combine like terms: -16 + 61 = 45 45 + 10x = -8(x + -8) + 12x + -13 Reorder the terms: 45 + 10x = -8(-8 + x) + 12x + -13 45 + 10x = (-8 * -8 + x * -8) + 12x + -13 45 + 10x = (64 + -8x) + 12x + -13 Reorder the terms: 45 + 10x = 64 + -13 + -8x + 12x Combine like terms: 64 + -13 = 51 45 + 10x = 51 + -8x + 12x Combine like terms: -8x + 12x = 4x 45 + 10x = 51 + 4x Solving 45 + 10x = 51 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 10x + -4x = 51 + 4x + -4x Combine like terms: 10x + -4x = 6x 45 + 6x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 6x = 51 + 0 45 + 6x = 51 Add '-45' to each side of the equation. 45 + -45 + 6x = 51 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 51 + -45 6x = 51 + -45 Combine like terms: 51 + -45 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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