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Simplifying 5(x + -7) + (4x + 2) = (5x + -4) + -2(x + 5) Reorder the terms: 5(-7 + x) + (4x + 2) = (5x + -4) + -2(x + 5) (-7 * 5 + x * 5) + (4x + 2) = (5x + -4) + -2(x + 5) (-35 + 5x) + (4x + 2) = (5x + -4) + -2(x + 5) Reorder the terms: -35 + 5x + (2 + 4x) = (5x + -4) + -2(x + 5) Remove parenthesis around (2 + 4x) -35 + 5x + 2 + 4x = (5x + -4) + -2(x + 5) Reorder the terms: -35 + 2 + 5x + 4x = (5x + -4) + -2(x + 5) Combine like terms: -35 + 2 = -33 -33 + 5x + 4x = (5x + -4) + -2(x + 5) Combine like terms: 5x + 4x = 9x -33 + 9x = (5x + -4) + -2(x + 5) Reorder the terms: -33 + 9x = (-4 + 5x) + -2(x + 5) Remove parenthesis around (-4 + 5x) -33 + 9x = -4 + 5x + -2(x + 5) Reorder the terms: -33 + 9x = -4 + 5x + -2(5 + x) -33 + 9x = -4 + 5x + (5 * -2 + x * -2) -33 + 9x = -4 + 5x + (-10 + -2x) Reorder the terms: -33 + 9x = -4 + -10 + 5x + -2x Combine like terms: -4 + -10 = -14 -33 + 9x = -14 + 5x + -2x Combine like terms: 5x + -2x = 3x -33 + 9x = -14 + 3x Solving -33 + 9x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -33 + 9x + -3x = -14 + 3x + -3x Combine like terms: 9x + -3x = 6x -33 + 6x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 6x = -14 + 0 -33 + 6x = -14 Add '33' to each side of the equation. -33 + 33 + 6x = -14 + 33 Combine like terms: -33 + 33 = 0 0 + 6x = -14 + 33 6x = -14 + 33 Combine like terms: -14 + 33 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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