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Simplifying 0.8x + -1.2(x + -4) = 0.3(x + -5) Reorder the terms: 0.8x + -1.2(-4 + x) = 0.3(x + -5) 0.8x + (-4 * -1.2 + x * -1.2) = 0.3(x + -5) 0.8x + (4.8 + -1.2x) = 0.3(x + -5) Reorder the terms: 4.8 + 0.8x + -1.2x = 0.3(x + -5) Combine like terms: 0.8x + -1.2x = -0.4x 4.8 + -0.4x = 0.3(x + -5) Reorder the terms: 4.8 + -0.4x = 0.3(-5 + x) 4.8 + -0.4x = (-5 * 0.3 + x * 0.3) 4.8 + -0.4x = (-1.5 + 0.3x) Solving 4.8 + -0.4x = -1.5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4.8 + -0.4x + -0.3x = -1.5 + 0.3x + -0.3x Combine like terms: -0.4x + -0.3x = -0.7x 4.8 + -0.7x = -1.5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4.8 + -0.7x = -1.5 + 0.0 4.8 + -0.7x = -1.5 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.7x = -1.5 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.7x = -1.5 + -4.8 -0.7x = -1.5 + -4.8 Combine like terms: -1.5 + -4.8 = -6.3 -0.7x = -6.3 Divide each side by '-0.7'. x = 9 Simplifying x = 9
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