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Simplifying 0.4(x + -22) = 1.2(x + -4) Reorder the terms: 0.4(-22 + x) = 1.2(x + -4) (-22 * 0.4 + x * 0.4) = 1.2(x + -4) (-8.8 + 0.4x) = 1.2(x + -4) Reorder the terms: -8.8 + 0.4x = 1.2(-4 + x) -8.8 + 0.4x = (-4 * 1.2 + x * 1.2) -8.8 + 0.4x = (-4.8 + 1.2x) Solving -8.8 + 0.4x = -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. -8.8 + 0.4x + -1.2x = -4.8 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -8.8 + -0.8x = -4.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -8.8 + -0.8x = -4.8 + 0.0 -8.8 + -0.8x = -4.8 Add '8.8' to each side of the equation. -8.8 + 8.8 + -0.8x = -4.8 + 8.8 Combine like terms: -8.8 + 8.8 = 0.0 0.0 + -0.8x = -4.8 + 8.8 -0.8x = -4.8 + 8.8 Combine like terms: -4.8 + 8.8 = 4 -0.8x = 4 Divide each side by '-0.8'. x = -5 Simplifying x = -5
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