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Simplifying 2(x + -5) = 3(1 + -1x) + -3x Reorder the terms: 2(-5 + x) = 3(1 + -1x) + -3x (-5 * 2 + x * 2) = 3(1 + -1x) + -3x (-10 + 2x) = 3(1 + -1x) + -3x -10 + 2x = (1 * 3 + -1x * 3) + -3x -10 + 2x = (3 + -3x) + -3x Combine like terms: -3x + -3x = -6x -10 + 2x = 3 + -6x Solving -10 + 2x = 3 + -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. -10 + 2x + 6x = 3 + -6x + 6x Combine like terms: 2x + 6x = 8x -10 + 8x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 8x = 3 + 0 -10 + 8x = 3 Add '10' to each side of the equation. -10 + 10 + 8x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 3 + 10 8x = 3 + 10 Combine like terms: 3 + 10 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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