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Simplifying 0.6x + -0.8(15 + -3x) = -0.2(x + -4) 0.6x + (15 * -0.8 + -3x * -0.8) = -0.2(x + -4) 0.6x + (-12 + 2.4x) = -0.2(x + -4) Reorder the terms: -12 + 0.6x + 2.4x = -0.2(x + -4) Combine like terms: 0.6x + 2.4x = 3x -12 + 3x = -0.2(x + -4) Reorder the terms: -12 + 3x = -0.2(-4 + x) -12 + 3x = (-4 * -0.2 + x * -0.2) -12 + 3x = (0.8 + -0.2x) Solving -12 + 3x = 0.8 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -12 + 3x + 0.2x = 0.8 + -0.2x + 0.2x Combine like terms: 3x + 0.2x = 3.2x -12 + 3.2x = 0.8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -12 + 3.2x = 0.8 + 0.0 -12 + 3.2x = 0.8 Add '12' to each side of the equation. -12 + 12 + 3.2x = 0.8 + 12 Combine like terms: -12 + 12 = 0 0 + 3.2x = 0.8 + 12 3.2x = 0.8 + 12 Combine like terms: 0.8 + 12 = 12.8 3.2x = 12.8 Divide each side by '3.2'. x = 4 Simplifying x = 4
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