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Simplifying 1.2(1.4x + -3.5) = 1.4(2.4x + -1.8) Reorder the terms: 1.2(-3.5 + 1.4x) = 1.4(2.4x + -1.8) (-3.5 * 1.2 + 1.4x * 1.2) = 1.4(2.4x + -1.8) (-4.2 + 1.68x) = 1.4(2.4x + -1.8) Reorder the terms: -4.2 + 1.68x = 1.4(-1.8 + 2.4x) -4.2 + 1.68x = (-1.8 * 1.4 + 2.4x * 1.4) -4.2 + 1.68x = (-2.52 + 3.36x) Solving -4.2 + 1.68x = -2.52 + 3.36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.36x' to each side of the equation. -4.2 + 1.68x + -3.36x = -2.52 + 3.36x + -3.36x Combine like terms: 1.68x + -3.36x = -1.68x -4.2 + -1.68x = -2.52 + 3.36x + -3.36x Combine like terms: 3.36x + -3.36x = 0.00 -4.2 + -1.68x = -2.52 + 0.00 -4.2 + -1.68x = -2.52 Add '4.2' to each side of the equation. -4.2 + 4.2 + -1.68x = -2.52 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -1.68x = -2.52 + 4.2 -1.68x = -2.52 + 4.2 Combine like terms: -2.52 + 4.2 = 1.68 -1.68x = 1.68 Divide each side by '-1.68'. x = -1 Simplifying x = -1
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