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Simplifying 0.6(6x + 12) + 2x = -2x + 8(x + 1) Reorder the terms: 0.6(12 + 6x) + 2x = -2x + 8(x + 1) (12 * 0.6 + 6x * 0.6) + 2x = -2x + 8(x + 1) (7.2 + 3.6x) + 2x = -2x + 8(x + 1) Combine like terms: 3.6x + 2x = 5.6x 7.2 + 5.6x = -2x + 8(x + 1) Reorder the terms: 7.2 + 5.6x = -2x + 8(1 + x) 7.2 + 5.6x = -2x + (1 * 8 + x * 8) 7.2 + 5.6x = -2x + (8 + 8x) Reorder the terms: 7.2 + 5.6x = 8 + -2x + 8x Combine like terms: -2x + 8x = 6x 7.2 + 5.6x = 8 + 6x Solving 7.2 + 5.6x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7.2 + 5.6x + -6x = 8 + 6x + -6x Combine like terms: 5.6x + -6x = -0.4x 7.2 + -0.4x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 7.2 + -0.4x = 8 + 0 7.2 + -0.4x = 8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.4x = 8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.4x = 8 + -7.2 -0.4x = 8 + -7.2 Combine like terms: 8 + -7.2 = 0.8 -0.4x = 0.8 Divide each side by '-0.4'. x = -2 Simplifying x = -2
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