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Simplifying 3(x + -7) + -5 = 2x + -8(x + -2) Reorder the terms: 3(-7 + x) + -5 = 2x + -8(x + -2) (-7 * 3 + x * 3) + -5 = 2x + -8(x + -2) (-21 + 3x) + -5 = 2x + -8(x + -2) Reorder the terms: -21 + -5 + 3x = 2x + -8(x + -2) Combine like terms: -21 + -5 = -26 -26 + 3x = 2x + -8(x + -2) Reorder the terms: -26 + 3x = 2x + -8(-2 + x) -26 + 3x = 2x + (-2 * -8 + x * -8) -26 + 3x = 2x + (16 + -8x) Reorder the terms: -26 + 3x = 16 + 2x + -8x Combine like terms: 2x + -8x = -6x -26 + 3x = 16 + -6x Solving -26 + 3x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -26 + 3x + 6x = 16 + -6x + 6x Combine like terms: 3x + 6x = 9x -26 + 9x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 9x = 16 + 0 -26 + 9x = 16 Add '26' to each side of the equation. -26 + 26 + 9x = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 16 + 26 9x = 16 + 26 Combine like terms: 16 + 26 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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