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Simplifying 6(x + -5) = 1.2(x + 2) Reorder the terms: 6(-5 + x) = 1.2(x + 2) (-5 * 6 + x * 6) = 1.2(x + 2) (-30 + 6x) = 1.2(x + 2) Reorder the terms: -30 + 6x = 1.2(2 + x) -30 + 6x = (2 * 1.2 + x * 1.2) -30 + 6x = (2.4 + 1.2x) Solving -30 + 6x = 2.4 + 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. -30 + 6x + -1.2x = 2.4 + 1.2x + -1.2x Combine like terms: 6x + -1.2x = 4.8x -30 + 4.8x = 2.4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -30 + 4.8x = 2.4 + 0.0 -30 + 4.8x = 2.4 Add '30' to each side of the equation. -30 + 30 + 4.8x = 2.4 + 30 Combine like terms: -30 + 30 = 0 0 + 4.8x = 2.4 + 30 4.8x = 2.4 + 30 Combine like terms: 2.4 + 30 = 32.4 4.8x = 32.4 Divide each side by '4.8'. x = 6.75 Simplifying x = 6.75
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