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Simplifying 12 + -1.2(x + -5) = 22 + -2(x + 4) Reorder the terms: 12 + -1.2(-5 + x) = 22 + -2(x + 4) 12 + (-5 * -1.2 + x * -1.2) = 22 + -2(x + 4) 12 + (6 + -1.2x) = 22 + -2(x + 4) Combine like terms: 12 + 6 = 18 18 + -1.2x = 22 + -2(x + 4) Reorder the terms: 18 + -1.2x = 22 + -2(4 + x) 18 + -1.2x = 22 + (4 * -2 + x * -2) 18 + -1.2x = 22 + (-8 + -2x) Combine like terms: 22 + -8 = 14 18 + -1.2x = 14 + -2x Solving 18 + -1.2x = 14 + -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. 18 + -1.2x + 2x = 14 + -2x + 2x Combine like terms: -1.2x + 2x = 0.8x 18 + 0.8x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 0.8x = 14 + 0 18 + 0.8x = 14 Add '-18' to each side of the equation. 18 + -18 + 0.8x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 0.8x = 14 + -18 0.8x = 14 + -18 Combine like terms: 14 + -18 = -4 0.8x = -4 Divide each side by '0.8'. x = -5 Simplifying x = -5
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