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Simplifying 6(x + -8) + -1(3x + -3) = 2x Reorder the terms: 6(-8 + x) + -1(3x + -3) = 2x (-8 * 6 + x * 6) + -1(3x + -3) = 2x (-48 + 6x) + -1(3x + -3) = 2x Reorder the terms: -48 + 6x + -1(-3 + 3x) = 2x -48 + 6x + (-3 * -1 + 3x * -1) = 2x -48 + 6x + (3 + -3x) = 2x Reorder the terms: -48 + 3 + 6x + -3x = 2x Combine like terms: -48 + 3 = -45 -45 + 6x + -3x = 2x Combine like terms: 6x + -3x = 3x -45 + 3x = 2x Solving -45 + 3x = 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. -45 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x -45 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 1x = 0 Add '45' to each side of the equation. -45 + 45 + 1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 0 + 45 1x = 0 + 45 Combine like terms: 0 + 45 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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