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Simplifying -1.4(x + -6) = 7(4x + 1.2) Reorder the terms: -1.4(-6 + x) = 7(4x + 1.2) (-6 * -1.4 + x * -1.4) = 7(4x + 1.2) (8.4 + -1.4x) = 7(4x + 1.2) Reorder the terms: 8.4 + -1.4x = 7(1.2 + 4x) 8.4 + -1.4x = (1.2 * 7 + 4x * 7) 8.4 + -1.4x = (8.4 + 28x) Add '-8.4' to each side of the equation. 8.4 + -8.4 + -1.4x = 8.4 + -8.4 + 28x Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -1.4x = 8.4 + -8.4 + 28x -1.4x = 8.4 + -8.4 + 28x Combine like terms: 8.4 + -8.4 = 0.0 -1.4x = 0.0 + 28x -1.4x = 28x Solving -1.4x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -1.4x + -28x = 28x + -28x Combine like terms: -1.4x + -28x = -29.4x -29.4x = 28x + -28x Combine like terms: 28x + -28x = 0 -29.4x = 0 Divide each side by '-29.4'. x = 0 Simplifying x = 0
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