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Simplifying 0.7(2x + -7) = 0.3(11 + -4x) Reorder the terms: 0.7(-7 + 2x) = 0.3(11 + -4x) (-7 * 0.7 + 2x * 0.7) = 0.3(11 + -4x) (-4.9 + 1.4x) = 0.3(11 + -4x) -4.9 + 1.4x = (11 * 0.3 + -4x * 0.3) -4.9 + 1.4x = (3.3 + -1.2x) Solving -4.9 + 1.4x = 3.3 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. -4.9 + 1.4x + 1.2x = 3.3 + -1.2x + 1.2x Combine like terms: 1.4x + 1.2x = 2.6x -4.9 + 2.6x = 3.3 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 -4.9 + 2.6x = 3.3 + 0.0 -4.9 + 2.6x = 3.3 Add '4.9' to each side of the equation. -4.9 + 4.9 + 2.6x = 3.3 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + 2.6x = 3.3 + 4.9 2.6x = 3.3 + 4.9 Combine like terms: 3.3 + 4.9 = 8.2 2.6x = 8.2 Divide each side by '2.6'. x = 3.153846154 Simplifying x = 3.153846154
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