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Simplifying 1.2(2x + -4) + 0.6 = 3x + -3.6 Reorder the terms: 1.2(-4 + 2x) + 0.6 = 3x + -3.6 (-4 * 1.2 + 2x * 1.2) + 0.6 = 3x + -3.6 (-4.8 + 2.4x) + 0.6 = 3x + -3.6 Reorder the terms: -4.8 + 0.6 + 2.4x = 3x + -3.6 Combine like terms: -4.8 + 0.6 = -4.2 -4.2 + 2.4x = 3x + -3.6 Reorder the terms: -4.2 + 2.4x = -3.6 + 3x Solving -4.2 + 2.4x = -3.6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4.2 + 2.4x + -3x = -3.6 + 3x + -3x Combine like terms: 2.4x + -3x = -0.6x -4.2 + -0.6x = -3.6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4.2 + -0.6x = -3.6 + 0 -4.2 + -0.6x = -3.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + -0.6x = -3.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -0.6x = -3.6 + 4.2 -0.6x = -3.6 + 4.2 Combine like terms: -3.6 + 4.2 = 0.6 -0.6x = 0.6 Divide each side by '-0.6'. x = -1 Simplifying x = -1
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