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Simplifying 6(x + -0.33) = -2(x + 23) Reorder the terms: 6(-0.33 + x) = -2(x + 23) (-0.33 * 6 + x * 6) = -2(x + 23) (-1.98 + 6x) = -2(x + 23) Reorder the terms: -1.98 + 6x = -2(23 + x) -1.98 + 6x = (23 * -2 + x * -2) -1.98 + 6x = (-46 + -2x) Solving -1.98 + 6x = -46 + -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. -1.98 + 6x + 2x = -46 + -2x + 2x Combine like terms: 6x + 2x = 8x -1.98 + 8x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 -1.98 + 8x = -46 + 0 -1.98 + 8x = -46 Add '1.98' to each side of the equation. -1.98 + 1.98 + 8x = -46 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + 8x = -46 + 1.98 8x = -46 + 1.98 Combine like terms: -46 + 1.98 = -44.02 8x = -44.02 Divide each side by '8'. x = -5.5025 Simplifying x = -5.5025
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