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Simplifying 18 + -0.6(x + -3) = 0.9(8x + -3) Reorder the terms: 18 + -0.6(-3 + x) = 0.9(8x + -3) 18 + (-3 * -0.6 + x * -0.6) = 0.9(8x + -3) 18 + (1.8 + -0.6x) = 0.9(8x + -3) Combine like terms: 18 + 1.8 = 19.8 19.8 + -0.6x = 0.9(8x + -3) Reorder the terms: 19.8 + -0.6x = 0.9(-3 + 8x) 19.8 + -0.6x = (-3 * 0.9 + 8x * 0.9) 19.8 + -0.6x = (-2.7 + 7.2x) Solving 19.8 + -0.6x = -2.7 + 7.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.2x' to each side of the equation. 19.8 + -0.6x + -7.2x = -2.7 + 7.2x + -7.2x Combine like terms: -0.6x + -7.2x = -7.8x 19.8 + -7.8x = -2.7 + 7.2x + -7.2x Combine like terms: 7.2x + -7.2x = 0.0 19.8 + -7.8x = -2.7 + 0.0 19.8 + -7.8x = -2.7 Add '-19.8' to each side of the equation. 19.8 + -19.8 + -7.8x = -2.7 + -19.8 Combine like terms: 19.8 + -19.8 = 0.0 0.0 + -7.8x = -2.7 + -19.8 -7.8x = -2.7 + -19.8 Combine like terms: -2.7 + -19.8 = -22.5 -7.8x = -22.5 Divide each side by '-7.8'. x = 2.884615385 Simplifying x = 2.884615385
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