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Simplifying 5 + 2(0.5x + -7) = 7(x + 1) + 5x Reorder the terms: 5 + 2(-7 + 0.5x) = 7(x + 1) + 5x 5 + (-7 * 2 + 0.5x * 2) = 7(x + 1) + 5x 5 + (-14 + 1x) = 7(x + 1) + 5x Combine like terms: 5 + -14 = -9 -9 + 1x = 7(x + 1) + 5x Reorder the terms: -9 + 1x = 7(1 + x) + 5x -9 + 1x = (1 * 7 + x * 7) + 5x -9 + 1x = (7 + 7x) + 5x Combine like terms: 7x + 5x = 12x -9 + 1x = 7 + 12x Solving -9 + 1x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 1x + -12x = 7 + 12x + -12x Combine like terms: 1x + -12x = -11x -9 + -11x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -11x = 7 + 0 -9 + -11x = 7 Add '9' to each side of the equation. -9 + 9 + -11x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = 7 + 9 -11x = 7 + 9 Combine like terms: 7 + 9 = 16 -11x = 16 Divide each side by '-11'. x = -1.454545455 Simplifying x = -1.454545455
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