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Simplifying 6(x + -5) + 12 = 8(x + 4) Reorder the terms: 6(-5 + x) + 12 = 8(x + 4) (-5 * 6 + x * 6) + 12 = 8(x + 4) (-30 + 6x) + 12 = 8(x + 4) Reorder the terms: -30 + 12 + 6x = 8(x + 4) Combine like terms: -30 + 12 = -18 -18 + 6x = 8(x + 4) Reorder the terms: -18 + 6x = 8(4 + x) -18 + 6x = (4 * 8 + x * 8) -18 + 6x = (32 + 8x) Solving -18 + 6x = 32 + 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. -18 + 6x + -8x = 32 + 8x + -8x Combine like terms: 6x + -8x = -2x -18 + -2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -2x = 32 + 0 -18 + -2x = 32 Add '18' to each side of the equation. -18 + 18 + -2x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 32 + 18 -2x = 32 + 18 Combine like terms: 32 + 18 = 50 -2x = 50 Divide each side by '-2'. x = -25 Simplifying x = -25
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