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Simplifying 8(x + -6) = 2(3x + 5) Reorder the terms: 8(-6 + x) = 2(3x + 5) (-6 * 8 + x * 8) = 2(3x + 5) (-48 + 8x) = 2(3x + 5) Reorder the terms: -48 + 8x = 2(5 + 3x) -48 + 8x = (5 * 2 + 3x * 2) -48 + 8x = (10 + 6x) Solving -48 + 8x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -48 + 8x + -6x = 10 + 6x + -6x Combine like terms: 8x + -6x = 2x -48 + 2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 2x = 10 + 0 -48 + 2x = 10 Add '48' to each side of the equation. -48 + 48 + 2x = 10 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = 10 + 48 2x = 10 + 48 Combine like terms: 10 + 48 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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