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Simplifying 4.4(x + -6) + 8 = 6(x + 2) + -8 Reorder the terms: 4.4(-6 + x) + 8 = 6(x + 2) + -8 (-6 * 4.4 + x * 4.4) + 8 = 6(x + 2) + -8 (-26.4 + 4.4x) + 8 = 6(x + 2) + -8 Reorder the terms: -26.4 + 8 + 4.4x = 6(x + 2) + -8 Combine like terms: -26.4 + 8 = -18.4 -18.4 + 4.4x = 6(x + 2) + -8 Reorder the terms: -18.4 + 4.4x = 6(2 + x) + -8 -18.4 + 4.4x = (2 * 6 + x * 6) + -8 -18.4 + 4.4x = (12 + 6x) + -8 Reorder the terms: -18.4 + 4.4x = 12 + -8 + 6x Combine like terms: 12 + -8 = 4 -18.4 + 4.4x = 4 + 6x Solving -18.4 + 4.4x = 4 + 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. -18.4 + 4.4x + -6x = 4 + 6x + -6x Combine like terms: 4.4x + -6x = -1.6x -18.4 + -1.6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -18.4 + -1.6x = 4 + 0 -18.4 + -1.6x = 4 Add '18.4' to each side of the equation. -18.4 + 18.4 + -1.6x = 4 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + -1.6x = 4 + 18.4 -1.6x = 4 + 18.4 Combine like terms: 4 + 18.4 = 22.4 -1.6x = 22.4 Divide each side by '-1.6'. x = -14 Simplifying x = -14
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