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Simplifying 1.2(5x + -4) = 3.6x + -12(x + 1) Reorder the terms: 1.2(-4 + 5x) = 3.6x + -12(x + 1) (-4 * 1.2 + 5x * 1.2) = 3.6x + -12(x + 1) (-4.8 + 6x) = 3.6x + -12(x + 1) Reorder the terms: -4.8 + 6x = 3.6x + -12(1 + x) -4.8 + 6x = 3.6x + (1 * -12 + x * -12) -4.8 + 6x = 3.6x + (-12 + -12x) Reorder the terms: -4.8 + 6x = -12 + 3.6x + -12x Combine like terms: 3.6x + -12x = -8.4x -4.8 + 6x = -12 + -8.4x Solving -4.8 + 6x = -12 + -8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.4x' to each side of the equation. -4.8 + 6x + 8.4x = -12 + -8.4x + 8.4x Combine like terms: 6x + 8.4x = 14.4x -4.8 + 14.4x = -12 + -8.4x + 8.4x Combine like terms: -8.4x + 8.4x = 0.0 -4.8 + 14.4x = -12 + 0.0 -4.8 + 14.4x = -12 Add '4.8' to each side of the equation. -4.8 + 4.8 + 14.4x = -12 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 14.4x = -12 + 4.8 14.4x = -12 + 4.8 Combine like terms: -12 + 4.8 = -7.2 14.4x = -7.2 Divide each side by '14.4'. x = -0.5 Simplifying x = -0.5
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