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Simplifying 0.3x + 3.2 + -0.9x = 1.2(x + 4) Reorder the terms: 3.2 + 0.3x + -0.9x = 1.2(x + 4) Combine like terms: 0.3x + -0.9x = -0.6x 3.2 + -0.6x = 1.2(x + 4) Reorder the terms: 3.2 + -0.6x = 1.2(4 + x) 3.2 + -0.6x = (4 * 1.2 + x * 1.2) 3.2 + -0.6x = (4.8 + 1.2x) Solving 3.2 + -0.6x = 4.8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 3.2 + -0.6x + -1.2x = 4.8 + 1.2x + -1.2x Combine like terms: -0.6x + -1.2x = -1.8x 3.2 + -1.8x = 4.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 3.2 + -1.8x = 4.8 + 0.0 3.2 + -1.8x = 4.8 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -1.8x = 4.8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -1.8x = 4.8 + -3.2 -1.8x = 4.8 + -3.2 Combine like terms: 4.8 + -3.2 = 1.6 -1.8x = 1.6 Divide each side by '-1.8'. x = -0.8888888889 Simplifying x = -0.8888888889
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