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Simplifying 3(x + -2) + 5 = 2x + -2(1 + -3x) Reorder the terms: 3(-2 + x) + 5 = 2x + -2(1 + -3x) (-2 * 3 + x * 3) + 5 = 2x + -2(1 + -3x) (-6 + 3x) + 5 = 2x + -2(1 + -3x) Reorder the terms: -6 + 5 + 3x = 2x + -2(1 + -3x) Combine like terms: -6 + 5 = -1 -1 + 3x = 2x + -2(1 + -3x) -1 + 3x = 2x + (1 * -2 + -3x * -2) -1 + 3x = 2x + (-2 + 6x) Reorder the terms: -1 + 3x = -2 + 2x + 6x Combine like terms: 2x + 6x = 8x -1 + 3x = -2 + 8x Solving -1 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x -1 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -5x = -2 + 0 -1 + -5x = -2 Add '1' to each side of the equation. -1 + 1 + -5x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -2 + 1 -5x = -2 + 1 Combine like terms: -2 + 1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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