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Simplifying 6(x + -5) + 1 = 8(x + 5) Reorder the terms: 6(-5 + x) + 1 = 8(x + 5) (-5 * 6 + x * 6) + 1 = 8(x + 5) (-30 + 6x) + 1 = 8(x + 5) Reorder the terms: -30 + 1 + 6x = 8(x + 5) Combine like terms: -30 + 1 = -29 -29 + 6x = 8(x + 5) Reorder the terms: -29 + 6x = 8(5 + x) -29 + 6x = (5 * 8 + x * 8) -29 + 6x = (40 + 8x) Solving -29 + 6x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -29 + 6x + -8x = 40 + 8x + -8x Combine like terms: 6x + -8x = -2x -29 + -2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -2x = 40 + 0 -29 + -2x = 40 Add '29' to each side of the equation. -29 + 29 + -2x = 40 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 40 + 29 -2x = 40 + 29 Combine like terms: 40 + 29 = 69 -2x = 69 Divide each side by '-2'. x = -34.5 Simplifying x = -34.5
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