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Simplifying 5(3x + 26) = 2(x + 26) Reorder the terms: 5(26 + 3x) = 2(x + 26) (26 * 5 + 3x * 5) = 2(x + 26) (130 + 15x) = 2(x + 26) Reorder the terms: 130 + 15x = 2(26 + x) 130 + 15x = (26 * 2 + x * 2) 130 + 15x = (52 + 2x) Solving 130 + 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. 130 + 15x + -2x = 52 + 2x + -2x Combine like terms: 15x + -2x = 13x 130 + 13x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 130 + 13x = 52 + 0 130 + 13x = 52 Add '-130' to each side of the equation. 130 + -130 + 13x = 52 + -130 Combine like terms: 130 + -130 = 0 0 + 13x = 52 + -130 13x = 52 + -130 Combine like terms: 52 + -130 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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