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Simplifying 0.8(2x + 1.4) = 1.2(2x + -8.4) Reorder the terms: 0.8(1.4 + 2x) = 1.2(2x + -8.4) (1.4 * 0.8 + 2x * 0.8) = 1.2(2x + -8.4) (1.12 + 1.6x) = 1.2(2x + -8.4) Reorder the terms: 1.12 + 1.6x = 1.2(-8.4 + 2x) 1.12 + 1.6x = (-8.4 * 1.2 + 2x * 1.2) 1.12 + 1.6x = (-10.08 + 2.4x) Solving 1.12 + 1.6x = -10.08 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 1.12 + 1.6x + -2.4x = -10.08 + 2.4x + -2.4x Combine like terms: 1.6x + -2.4x = -0.8x 1.12 + -0.8x = -10.08 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 1.12 + -0.8x = -10.08 + 0.0 1.12 + -0.8x = -10.08 Add '-1.12' to each side of the equation. 1.12 + -1.12 + -0.8x = -10.08 + -1.12 Combine like terms: 1.12 + -1.12 = 0.00 0.00 + -0.8x = -10.08 + -1.12 -0.8x = -10.08 + -1.12 Combine like terms: -10.08 + -1.12 = -11.2 -0.8x = -11.2 Divide each side by '-0.8'. x = 14 Simplifying x = 14
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