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Simplifying 8(x + 4) = 4(2x + 1) * 28 Reorder the terms: 8(4 + x) = 4(2x + 1) * 28 (4 * 8 + x * 8) = 4(2x + 1) * 28 (32 + 8x) = 4(2x + 1) * 28 Reorder the terms: 32 + 8x = 4(1 + 2x) * 28 Reorder the terms for easier multiplication: 32 + 8x = 4 * 28(1 + 2x) Multiply 4 * 28 32 + 8x = 112(1 + 2x) 32 + 8x = (1 * 112 + 2x * 112) 32 + 8x = (112 + 224x) Solving 32 + 8x = 112 + 224x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-224x' to each side of the equation. 32 + 8x + -224x = 112 + 224x + -224x Combine like terms: 8x + -224x = -216x 32 + -216x = 112 + 224x + -224x Combine like terms: 224x + -224x = 0 32 + -216x = 112 + 0 32 + -216x = 112 Add '-32' to each side of the equation. 32 + -32 + -216x = 112 + -32 Combine like terms: 32 + -32 = 0 0 + -216x = 112 + -32 -216x = 112 + -32 Combine like terms: 112 + -32 = 80 -216x = 80 Divide each side by '-216'. x = -0.3703703704 Simplifying x = -0.3703703704
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