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Simplifying 8(5x + -6) + -5 = 2x + 61 Reorder the terms: 8(-6 + 5x) + -5 = 2x + 61 (-6 * 8 + 5x * 8) + -5 = 2x + 61 (-48 + 40x) + -5 = 2x + 61 Reorder the terms: -48 + -5 + 40x = 2x + 61 Combine like terms: -48 + -5 = -53 -53 + 40x = 2x + 61 Reorder the terms: -53 + 40x = 61 + 2x Solving -53 + 40x = 61 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -53 + 40x + -2x = 61 + 2x + -2x Combine like terms: 40x + -2x = 38x -53 + 38x = 61 + 2x + -2x Combine like terms: 2x + -2x = 0 -53 + 38x = 61 + 0 -53 + 38x = 61 Add '53' to each side of the equation. -53 + 53 + 38x = 61 + 53 Combine like terms: -53 + 53 = 0 0 + 38x = 61 + 53 38x = 61 + 53 Combine like terms: 61 + 53 = 114 38x = 114 Divide each side by '38'. x = 3 Simplifying x = 3
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