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Simplifying 6(x + -0.3) = -2(x + 23) Reorder the terms: 6(-0.3 + x) = -2(x + 23) (-0.3 * 6 + x * 6) = -2(x + 23) (-1.8 + 6x) = -2(x + 23) Reorder the terms: -1.8 + 6x = -2(23 + x) -1.8 + 6x = (23 * -2 + x * -2) -1.8 + 6x = (-46 + -2x) Solving -1.8 + 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. -1.8 + 6x + 2x = -46 + -2x + 2x Combine like terms: 6x + 2x = 8x -1.8 + 8x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 -1.8 + 8x = -46 + 0 -1.8 + 8x = -46 Add '1.8' to each side of the equation. -1.8 + 1.8 + 8x = -46 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 8x = -46 + 1.8 8x = -46 + 1.8 Combine like terms: -46 + 1.8 = -44.2 8x = -44.2 Divide each side by '8'. x = -5.525 Simplifying x = -5.525
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