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Simplifying 2(3x + 12) + 3(x + 17) = 4(8x + 3) Reorder the terms: 2(12 + 3x) + 3(x + 17) = 4(8x + 3) (12 * 2 + 3x * 2) + 3(x + 17) = 4(8x + 3) (24 + 6x) + 3(x + 17) = 4(8x + 3) Reorder the terms: 24 + 6x + 3(17 + x) = 4(8x + 3) 24 + 6x + (17 * 3 + x * 3) = 4(8x + 3) 24 + 6x + (51 + 3x) = 4(8x + 3) Reorder the terms: 24 + 51 + 6x + 3x = 4(8x + 3) Combine like terms: 24 + 51 = 75 75 + 6x + 3x = 4(8x + 3) Combine like terms: 6x + 3x = 9x 75 + 9x = 4(8x + 3) Reorder the terms: 75 + 9x = 4(3 + 8x) 75 + 9x = (3 * 4 + 8x * 4) 75 + 9x = (12 + 32x) Solving 75 + 9x = 12 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 75 + 9x + -32x = 12 + 32x + -32x Combine like terms: 9x + -32x = -23x 75 + -23x = 12 + 32x + -32x Combine like terms: 32x + -32x = 0 75 + -23x = 12 + 0 75 + -23x = 12 Add '-75' to each side of the equation. 75 + -75 + -23x = 12 + -75 Combine like terms: 75 + -75 = 0 0 + -23x = 12 + -75 -23x = 12 + -75 Combine like terms: 12 + -75 = -63 -23x = -63 Divide each side by '-23'. x = 2.739130435 Simplifying x = 2.739130435
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