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Simplifying 16(x + 2) = 4(4x + 3) * 20 Reorder the terms: 16(2 + x) = 4(4x + 3) * 20 (2 * 16 + x * 16) = 4(4x + 3) * 20 (32 + 16x) = 4(4x + 3) * 20 Reorder the terms: 32 + 16x = 4(3 + 4x) * 20 Reorder the terms for easier multiplication: 32 + 16x = 4 * 20(3 + 4x) Multiply 4 * 20 32 + 16x = 80(3 + 4x) 32 + 16x = (3 * 80 + 4x * 80) 32 + 16x = (240 + 320x) Solving 32 + 16x = 240 + 320x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320x' to each side of the equation. 32 + 16x + -320x = 240 + 320x + -320x Combine like terms: 16x + -320x = -304x 32 + -304x = 240 + 320x + -320x Combine like terms: 320x + -320x = 0 32 + -304x = 240 + 0 32 + -304x = 240 Add '-32' to each side of the equation. 32 + -32 + -304x = 240 + -32 Combine like terms: 32 + -32 = 0 0 + -304x = 240 + -32 -304x = 240 + -32 Combine like terms: 240 + -32 = 208 -304x = 208 Divide each side by '-304'. x = -0.6842105263 Simplifying x = -0.6842105263
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