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Simplifying 3(5x + -52) = 2(x + 26) Reorder the terms: 3(-52 + 5x) = 2(x + 26) (-52 * 3 + 5x * 3) = 2(x + 26) (-156 + 15x) = 2(x + 26) Reorder the terms: -156 + 15x = 2(26 + x) -156 + 15x = (26 * 2 + x * 2) -156 + 15x = (52 + 2x) Solving -156 + 15x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -156 + 15x + -2x = 52 + 2x + -2x Combine like terms: 15x + -2x = 13x -156 + 13x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 -156 + 13x = 52 + 0 -156 + 13x = 52 Add '156' to each side of the equation. -156 + 156 + 13x = 52 + 156 Combine like terms: -156 + 156 = 0 0 + 13x = 52 + 156 13x = 52 + 156 Combine like terms: 52 + 156 = 208 13x = 208 Divide each side by '13'. x = 16 Simplifying x = 16
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