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Simplifying 8(4 + x) + -3 = 12(x + y) + 5 (4 * 8 + x * 8) + -3 = 12(x + y) + 5 (32 + 8x) + -3 = 12(x + y) + 5 Reorder the terms: 32 + -3 + 8x = 12(x + y) + 5 Combine like terms: 32 + -3 = 29 29 + 8x = 12(x + y) + 5 29 + 8x = (x * 12 + y * 12) + 5 29 + 8x = (12x + 12y) + 5 Reorder the terms: 29 + 8x = 5 + 12x + 12y Solving 29 + 8x = 5 + 12x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 29 + 8x + -12x = 5 + 12x + -12x + 12y Combine like terms: 8x + -12x = -4x 29 + -4x = 5 + 12x + -12x + 12y Combine like terms: 12x + -12x = 0 29 + -4x = 5 + 0 + 12y 29 + -4x = 5 + 12y Add '-29' to each side of the equation. 29 + -29 + -4x = 5 + -29 + 12y Combine like terms: 29 + -29 = 0 0 + -4x = 5 + -29 + 12y -4x = 5 + -29 + 12y Combine like terms: 5 + -29 = -24 -4x = -24 + 12y Divide each side by '-4'. x = 6 + -3y Simplifying x = 6 + -3y
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