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Simplifying 5(5 + -2x) + -6(2 + -1x) = 7(1x) (5 * 5 + -2x * 5) + -6(2 + -1x) = 7(1x) (25 + -10x) + -6(2 + -1x) = 7(1x) 25 + -10x + (2 * -6 + -1x * -6) = 7(1x) 25 + -10x + (-12 + 6x) = 7(1x) Reorder the terms: 25 + -12 + -10x + 6x = 7(1x) Combine like terms: 25 + -12 = 13 13 + -10x + 6x = 7(1x) Combine like terms: -10x + 6x = -4x 13 + -4x = 7(1x) Remove parenthesis around (1x) 13 + -4x = 7 * 1x Multiply 7 * 1 13 + -4x = 7x Solving 13 + -4x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + -4x + -7x = 7x + -7x Combine like terms: -4x + -7x = -11x 13 + -11x = 7x + -7x Combine like terms: 7x + -7x = 0 13 + -11x = 0 Add '-13' to each side of the equation. 13 + -13 + -11x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 0 + -13 -11x = 0 + -13 Combine like terms: 0 + -13 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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