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Simplifying 0.3(6x + -12) = 4(0.5x + 1) + -2 Reorder the terms: 0.3(-12 + 6x) = 4(0.5x + 1) + -2 (-12 * 0.3 + 6x * 0.3) = 4(0.5x + 1) + -2 (-3.6 + 1.8x) = 4(0.5x + 1) + -2 Reorder the terms: -3.6 + 1.8x = 4(1 + 0.5x) + -2 -3.6 + 1.8x = (1 * 4 + 0.5x * 4) + -2 -3.6 + 1.8x = (4 + 2x) + -2 Reorder the terms: -3.6 + 1.8x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 -3.6 + 1.8x = 2 + 2x Solving -3.6 + 1.8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3.6 + 1.8x + -2x = 2 + 2x + -2x Combine like terms: 1.8x + -2x = -0.2x -3.6 + -0.2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3.6 + -0.2x = 2 + 0 -3.6 + -0.2x = 2 Add '3.6' to each side of the equation. -3.6 + 3.6 + -0.2x = 2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -0.2x = 2 + 3.6 -0.2x = 2 + 3.6 Combine like terms: 2 + 3.6 = 5.6 -0.2x = 5.6 Divide each side by '-0.2'. x = -28 Simplifying x = -28
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