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Simplifying 0.7(3x + -7) = 1.1(x + -1) + 0.2 Reorder the terms: 0.7(-7 + 3x) = 1.1(x + -1) + 0.2 (-7 * 0.7 + 3x * 0.7) = 1.1(x + -1) + 0.2 (-4.9 + 2.1x) = 1.1(x + -1) + 0.2 Reorder the terms: -4.9 + 2.1x = 1.1(-1 + x) + 0.2 -4.9 + 2.1x = (-1 * 1.1 + x * 1.1) + 0.2 -4.9 + 2.1x = (-1.1 + 1.1x) + 0.2 Reorder the terms: -4.9 + 2.1x = -1.1 + 0.2 + 1.1x Combine like terms: -1.1 + 0.2 = -0.9 -4.9 + 2.1x = -0.9 + 1.1x Solving -4.9 + 2.1x = -0.9 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. -4.9 + 2.1x + -1.1x = -0.9 + 1.1x + -1.1x Combine like terms: 2.1x + -1.1x = 1x -4.9 + 1x = -0.9 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -4.9 + 1x = -0.9 + 0.0 -4.9 + 1x = -0.9 Add '4.9' to each side of the equation. -4.9 + 4.9 + 1x = -0.9 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + 1x = -0.9 + 4.9 1x = -0.9 + 4.9 Combine like terms: -0.9 + 4.9 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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