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Simplifying 2(3x + -5) + 3x = 2 + -1(4 + -1x) Reorder the terms: 2(-5 + 3x) + 3x = 2 + -1(4 + -1x) (-5 * 2 + 3x * 2) + 3x = 2 + -1(4 + -1x) (-10 + 6x) + 3x = 2 + -1(4 + -1x) Combine like terms: 6x + 3x = 9x -10 + 9x = 2 + -1(4 + -1x) -10 + 9x = 2 + (4 * -1 + -1x * -1) -10 + 9x = 2 + (-4 + 1x) Combine like terms: 2 + -4 = -2 -10 + 9x = -2 + 1x Solving -10 + 9x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 9x + -1x = -2 + 1x + -1x Combine like terms: 9x + -1x = 8x -10 + 8x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 8x = -2 + 0 -10 + 8x = -2 Add '10' to each side of the equation. -10 + 10 + 8x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -2 + 10 8x = -2 + 10 Combine like terms: -2 + 10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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