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Simplifying 3(x + -2) + 3x = 1 + -1(2x + 5) Reorder the terms: 3(-2 + x) + 3x = 1 + -1(2x + 5) (-2 * 3 + x * 3) + 3x = 1 + -1(2x + 5) (-6 + 3x) + 3x = 1 + -1(2x + 5) Combine like terms: 3x + 3x = 6x -6 + 6x = 1 + -1(2x + 5) Reorder the terms: -6 + 6x = 1 + -1(5 + 2x) -6 + 6x = 1 + (5 * -1 + 2x * -1) -6 + 6x = 1 + (-5 + -2x) Combine like terms: 1 + -5 = -4 -6 + 6x = -4 + -2x Solving -6 + 6x = -4 + -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. -6 + 6x + 2x = -4 + -2x + 2x Combine like terms: 6x + 2x = 8x -6 + 8x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 8x = -4 + 0 -6 + 8x = -4 Add '6' to each side of the equation. -6 + 6 + 8x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -4 + 6 8x = -4 + 6 Combine like terms: -4 + 6 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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