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Simplifying 0.9(x + -6) = 8(x + 6) Reorder the terms: 0.9(-6 + x) = 8(x + 6) (-6 * 0.9 + x * 0.9) = 8(x + 6) (-5.4 + 0.9x) = 8(x + 6) Reorder the terms: -5.4 + 0.9x = 8(6 + x) -5.4 + 0.9x = (6 * 8 + x * 8) -5.4 + 0.9x = (48 + 8x) Solving -5.4 + 0.9x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5.4 + 0.9x + -8x = 48 + 8x + -8x Combine like terms: 0.9x + -8x = -7.1x -5.4 + -7.1x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -5.4 + -7.1x = 48 + 0 -5.4 + -7.1x = 48 Add '5.4' to each side of the equation. -5.4 + 5.4 + -7.1x = 48 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -7.1x = 48 + 5.4 -7.1x = 48 + 5.4 Combine like terms: 48 + 5.4 = 53.4 -7.1x = 53.4 Divide each side by '-7.1'. x = -7.521126761 Simplifying x = -7.521126761
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