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Simplifying 4(6x + 1) + -20 = 3(4x + 3) + 23 Reorder the terms: 4(1 + 6x) + -20 = 3(4x + 3) + 23 (1 * 4 + 6x * 4) + -20 = 3(4x + 3) + 23 (4 + 24x) + -20 = 3(4x + 3) + 23 Reorder the terms: 4 + -20 + 24x = 3(4x + 3) + 23 Combine like terms: 4 + -20 = -16 -16 + 24x = 3(4x + 3) + 23 Reorder the terms: -16 + 24x = 3(3 + 4x) + 23 -16 + 24x = (3 * 3 + 4x * 3) + 23 -16 + 24x = (9 + 12x) + 23 Reorder the terms: -16 + 24x = 9 + 23 + 12x Combine like terms: 9 + 23 = 32 -16 + 24x = 32 + 12x Solving -16 + 24x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 24x + -12x = 32 + 12x + -12x Combine like terms: 24x + -12x = 12x -16 + 12x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 12x = 32 + 0 -16 + 12x = 32 Add '16' to each side of the equation. -16 + 16 + 12x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 32 + 16 12x = 32 + 16 Combine like terms: 32 + 16 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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