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Simplifying 6(x + -5) + -3 = 8(x + 5) Reorder the terms: 6(-5 + x) + -3 = 8(x + 5) (-5 * 6 + x * 6) + -3 = 8(x + 5) (-30 + 6x) + -3 = 8(x + 5) Reorder the terms: -30 + -3 + 6x = 8(x + 5) Combine like terms: -30 + -3 = -33 -33 + 6x = 8(x + 5) Reorder the terms: -33 + 6x = 8(5 + x) -33 + 6x = (5 * 8 + x * 8) -33 + 6x = (40 + 8x) Solving -33 + 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. -33 + 6x + -8x = 40 + 8x + -8x Combine like terms: 6x + -8x = -2x -33 + -2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -33 + -2x = 40 + 0 -33 + -2x = 40 Add '33' to each side of the equation. -33 + 33 + -2x = 40 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = 40 + 33 -2x = 40 + 33 Combine like terms: 40 + 33 = 73 -2x = 73 Divide each side by '-2'. x = -36.5 Simplifying x = -36.5
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