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Simplifying 0.7(x + -2) = 3(x + 4) Reorder the terms: 0.7(-2 + x) = 3(x + 4) (-2 * 0.7 + x * 0.7) = 3(x + 4) (-1.4 + 0.7x) = 3(x + 4) Reorder the terms: -1.4 + 0.7x = 3(4 + x) -1.4 + 0.7x = (4 * 3 + x * 3) -1.4 + 0.7x = (12 + 3x) Solving -1.4 + 0.7x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.4 + 0.7x + -3x = 12 + 3x + -3x Combine like terms: 0.7x + -3x = -2.3x -1.4 + -2.3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.4 + -2.3x = 12 + 0 -1.4 + -2.3x = 12 Add '1.4' to each side of the equation. -1.4 + 1.4 + -2.3x = 12 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -2.3x = 12 + 1.4 -2.3x = 12 + 1.4 Combine like terms: 12 + 1.4 = 13.4 -2.3x = 13.4 Divide each side by '-2.3'. x = -5.826086957 Simplifying x = -5.826086957
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