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Simplifying 12(8x + -18) + 16 = -5 + 4(x + 3) Reorder the terms: 12(-18 + 8x) + 16 = -5 + 4(x + 3) (-18 * 12 + 8x * 12) + 16 = -5 + 4(x + 3) (-216 + 96x) + 16 = -5 + 4(x + 3) Reorder the terms: -216 + 16 + 96x = -5 + 4(x + 3) Combine like terms: -216 + 16 = -200 -200 + 96x = -5 + 4(x + 3) Reorder the terms: -200 + 96x = -5 + 4(3 + x) -200 + 96x = -5 + (3 * 4 + x * 4) -200 + 96x = -5 + (12 + 4x) Combine like terms: -5 + 12 = 7 -200 + 96x = 7 + 4x Solving -200 + 96x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -200 + 96x + -4x = 7 + 4x + -4x Combine like terms: 96x + -4x = 92x -200 + 92x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -200 + 92x = 7 + 0 -200 + 92x = 7 Add '200' to each side of the equation. -200 + 200 + 92x = 7 + 200 Combine like terms: -200 + 200 = 0 0 + 92x = 7 + 200 92x = 7 + 200 Combine like terms: 7 + 200 = 207 92x = 207 Divide each side by '92'. x = 2.25 Simplifying x = 2.25
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