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Simplifying 2(x + -5) + x = 2(x + -3) + 7(x + -2) Reorder the terms: 2(-5 + x) + x = 2(x + -3) + 7(x + -2) (-5 * 2 + x * 2) + x = 2(x + -3) + 7(x + -2) (-10 + 2x) + x = 2(x + -3) + 7(x + -2) Combine like terms: 2x + x = 3x -10 + 3x = 2(x + -3) + 7(x + -2) Reorder the terms: -10 + 3x = 2(-3 + x) + 7(x + -2) -10 + 3x = (-3 * 2 + x * 2) + 7(x + -2) -10 + 3x = (-6 + 2x) + 7(x + -2) Reorder the terms: -10 + 3x = -6 + 2x + 7(-2 + x) -10 + 3x = -6 + 2x + (-2 * 7 + x * 7) -10 + 3x = -6 + 2x + (-14 + 7x) Reorder the terms: -10 + 3x = -6 + -14 + 2x + 7x Combine like terms: -6 + -14 = -20 -10 + 3x = -20 + 2x + 7x Combine like terms: 2x + 7x = 9x -10 + 3x = -20 + 9x Solving -10 + 3x = -20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 3x + -9x = -20 + 9x + -9x Combine like terms: 3x + -9x = -6x -10 + -6x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -6x = -20 + 0 -10 + -6x = -20 Add '10' to each side of the equation. -10 + 10 + -6x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -20 + 10 -6x = -20 + 10 Combine like terms: -20 + 10 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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