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Simplifying 4(4x + 8) = 3(5x + -2) + 23 Reorder the terms: 4(8 + 4x) = 3(5x + -2) + 23 (8 * 4 + 4x * 4) = 3(5x + -2) + 23 (32 + 16x) = 3(5x + -2) + 23 Reorder the terms: 32 + 16x = 3(-2 + 5x) + 23 32 + 16x = (-2 * 3 + 5x * 3) + 23 32 + 16x = (-6 + 15x) + 23 Reorder the terms: 32 + 16x = -6 + 23 + 15x Combine like terms: -6 + 23 = 17 32 + 16x = 17 + 15x Solving 32 + 16x = 17 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 32 + 16x + -15x = 17 + 15x + -15x Combine like terms: 16x + -15x = 1x 32 + 1x = 17 + 15x + -15x Combine like terms: 15x + -15x = 0 32 + 1x = 17 + 0 32 + 1x = 17 Add '-32' to each side of the equation. 32 + -32 + 1x = 17 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 17 + -32 1x = 17 + -32 Combine like terms: 17 + -32 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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