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Simplifying 16(x + 2) = 4(4x + 2) * 24 Reorder the terms: 16(2 + x) = 4(4x + 2) * 24 (2 * 16 + x * 16) = 4(4x + 2) * 24 (32 + 16x) = 4(4x + 2) * 24 Reorder the terms: 32 + 16x = 4(2 + 4x) * 24 Reorder the terms for easier multiplication: 32 + 16x = 4 * 24(2 + 4x) Multiply 4 * 24 32 + 16x = 96(2 + 4x) 32 + 16x = (2 * 96 + 4x * 96) 32 + 16x = (192 + 384x) Solving 32 + 16x = 192 + 384x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-384x' to each side of the equation. 32 + 16x + -384x = 192 + 384x + -384x Combine like terms: 16x + -384x = -368x 32 + -368x = 192 + 384x + -384x Combine like terms: 384x + -384x = 0 32 + -368x = 192 + 0 32 + -368x = 192 Add '-32' to each side of the equation. 32 + -32 + -368x = 192 + -32 Combine like terms: 32 + -32 = 0 0 + -368x = 192 + -32 -368x = 192 + -32 Combine like terms: 192 + -32 = 160 -368x = 160 Divide each side by '-368'. x = -0.4347826087 Simplifying x = -0.4347826087
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