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Simplifying 1.2(x + -10) = -2.8(x + -9) Reorder the terms: 1.2(-10 + x) = -2.8(x + -9) (-10 * 1.2 + x * 1.2) = -2.8(x + -9) (-12 + 1.2x) = -2.8(x + -9) Reorder the terms: -12 + 1.2x = -2.8(-9 + x) -12 + 1.2x = (-9 * -2.8 + x * -2.8) -12 + 1.2x = (25.2 + -2.8x) Solving -12 + 1.2x = 25.2 + -2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8x' to each side of the equation. -12 + 1.2x + 2.8x = 25.2 + -2.8x + 2.8x Combine like terms: 1.2x + 2.8x = 4x -12 + 4x = 25.2 + -2.8x + 2.8x Combine like terms: -2.8x + 2.8x = 0.0 -12 + 4x = 25.2 + 0.0 -12 + 4x = 25.2 Add '12' to each side of the equation. -12 + 12 + 4x = 25.2 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 25.2 + 12 4x = 25.2 + 12 Combine like terms: 25.2 + 12 = 37.2 4x = 37.2 Divide each side by '4'. x = 9.3 Simplifying x = 9.3
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