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Simplifying 2(3x + -5) + 9 = 5 + -1(2x + 26) Reorder the terms: 2(-5 + 3x) + 9 = 5 + -1(2x + 26) (-5 * 2 + 3x * 2) + 9 = 5 + -1(2x + 26) (-10 + 6x) + 9 = 5 + -1(2x + 26) Reorder the terms: -10 + 9 + 6x = 5 + -1(2x + 26) Combine like terms: -10 + 9 = -1 -1 + 6x = 5 + -1(2x + 26) Reorder the terms: -1 + 6x = 5 + -1(26 + 2x) -1 + 6x = 5 + (26 * -1 + 2x * -1) -1 + 6x = 5 + (-26 + -2x) Combine like terms: 5 + -26 = -21 -1 + 6x = -21 + -2x Solving -1 + 6x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 6x + 2x = -21 + -2x + 2x Combine like terms: 6x + 2x = 8x -1 + 8x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 8x = -21 + 0 -1 + 8x = -21 Add '1' to each side of the equation. -1 + 1 + 8x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -21 + 1 8x = -21 + 1 Combine like terms: -21 + 1 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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