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Simplifying 0.8(x + -1) + 0.2(3x + 12) = 4 + x Reorder the terms: 0.8(-1 + x) + 0.2(3x + 12) = 4 + x (-1 * 0.8 + x * 0.8) + 0.2(3x + 12) = 4 + x (-0.8 + 0.8x) + 0.2(3x + 12) = 4 + x Reorder the terms: -0.8 + 0.8x + 0.2(12 + 3x) = 4 + x -0.8 + 0.8x + (12 * 0.2 + 3x * 0.2) = 4 + x -0.8 + 0.8x + (2.4 + 0.6x) = 4 + x Reorder the terms: -0.8 + 2.4 + 0.8x + 0.6x = 4 + x Combine like terms: -0.8 + 2.4 = 1.6 1.6 + 0.8x + 0.6x = 4 + x Combine like terms: 0.8x + 0.6x = 1.4x 1.6 + 1.4x = 4 + x Solving 1.6 + 1.4x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.6 + 1.4x + -1x = 4 + x + -1x Combine like terms: 1.4x + -1x = 0.4x 1.6 + 0.4x = 4 + x + -1x Combine like terms: x + -1x = 0 1.6 + 0.4x = 4 + 0 1.6 + 0.4x = 4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.4x = 4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.4x = 4 + -1.6 0.4x = 4 + -1.6 Combine like terms: 4 + -1.6 = 2.4 0.4x = 2.4 Divide each side by '0.4'. x = 6 Simplifying x = 6
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