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Simplifying -6(x + -5) + 0.8(x + -6) = 0.2x + -1.8 Reorder the terms: -6(-5 + x) + 0.8(x + -6) = 0.2x + -1.8 (-5 * -6 + x * -6) + 0.8(x + -6) = 0.2x + -1.8 (30 + -6x) + 0.8(x + -6) = 0.2x + -1.8 Reorder the terms: 30 + -6x + 0.8(-6 + x) = 0.2x + -1.8 30 + -6x + (-6 * 0.8 + x * 0.8) = 0.2x + -1.8 30 + -6x + (-4.8 + 0.8x) = 0.2x + -1.8 Reorder the terms: 30 + -4.8 + -6x + 0.8x = 0.2x + -1.8 Combine like terms: 30 + -4.8 = 25.2 25.2 + -6x + 0.8x = 0.2x + -1.8 Combine like terms: -6x + 0.8x = -5.2x 25.2 + -5.2x = 0.2x + -1.8 Reorder the terms: 25.2 + -5.2x = -1.8 + 0.2x Solving 25.2 + -5.2x = -1.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 25.2 + -5.2x + -0.2x = -1.8 + 0.2x + -0.2x Combine like terms: -5.2x + -0.2x = -5.4x 25.2 + -5.4x = -1.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 25.2 + -5.4x = -1.8 + 0.0 25.2 + -5.4x = -1.8 Add '-25.2' to each side of the equation. 25.2 + -25.2 + -5.4x = -1.8 + -25.2 Combine like terms: 25.2 + -25.2 = 0.0 0.0 + -5.4x = -1.8 + -25.2 -5.4x = -1.8 + -25.2 Combine like terms: -1.8 + -25.2 = -27 -5.4x = -27 Divide each side by '-5.4'. x = 5 Simplifying x = 5
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