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Simplifying 5(2x) + 1 = 26 * 5(x + -1) Remove parenthesis around (2x) 5 * 2x + 1 = 26 * 5(x + -1) Multiply 5 * 2 10x + 1 = 26 * 5(x + -1) Reorder the terms: 1 + 10x = 26 * 5(x + -1) Reorder the terms: 1 + 10x = 26 * 5(-1 + x) Multiply 26 * 5 1 + 10x = 130(-1 + x) 1 + 10x = (-1 * 130 + x * 130) 1 + 10x = (-130 + 130x) Solving 1 + 10x = -130 + 130x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130x' to each side of the equation. 1 + 10x + -130x = -130 + 130x + -130x Combine like terms: 10x + -130x = -120x 1 + -120x = -130 + 130x + -130x Combine like terms: 130x + -130x = 0 1 + -120x = -130 + 0 1 + -120x = -130 Add '-1' to each side of the equation. 1 + -1 + -120x = -130 + -1 Combine like terms: 1 + -1 = 0 0 + -120x = -130 + -1 -120x = -130 + -1 Combine like terms: -130 + -1 = -131 -120x = -131 Divide each side by '-120'. x = 1.091666667 Simplifying x = 1.091666667
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