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Simplifying 4(4x + -39) = 3(x + 52) Reorder the terms: 4(-39 + 4x) = 3(x + 52) (-39 * 4 + 4x * 4) = 3(x + 52) (-156 + 16x) = 3(x + 52) Reorder the terms: -156 + 16x = 3(52 + x) -156 + 16x = (52 * 3 + x * 3) -156 + 16x = (156 + 3x) Solving -156 + 16x = 156 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -156 + 16x + -3x = 156 + 3x + -3x Combine like terms: 16x + -3x = 13x -156 + 13x = 156 + 3x + -3x Combine like terms: 3x + -3x = 0 -156 + 13x = 156 + 0 -156 + 13x = 156 Add '156' to each side of the equation. -156 + 156 + 13x = 156 + 156 Combine like terms: -156 + 156 = 0 0 + 13x = 156 + 156 13x = 156 + 156 Combine like terms: 156 + 156 = 312 13x = 312 Divide each side by '13'. x = 24 Simplifying x = 24
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