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Simplifying 2(x + -1.2) = 3(x + 1.4) + -1.9 Reorder the terms: 2(-1.2 + x) = 3(x + 1.4) + -1.9 (-1.2 * 2 + x * 2) = 3(x + 1.4) + -1.9 (-2.4 + 2x) = 3(x + 1.4) + -1.9 Reorder the terms: -2.4 + 2x = 3(1.4 + x) + -1.9 -2.4 + 2x = (1.4 * 3 + x * 3) + -1.9 -2.4 + 2x = (4.2 + 3x) + -1.9 Reorder the terms: -2.4 + 2x = 4.2 + -1.9 + 3x Combine like terms: 4.2 + -1.9 = 2.3 -2.4 + 2x = 2.3 + 3x Solving -2.4 + 2x = 2.3 + 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. -2.4 + 2x + -3x = 2.3 + 3x + -3x Combine like terms: 2x + -3x = -1x -2.4 + -1x = 2.3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2.4 + -1x = 2.3 + 0 -2.4 + -1x = 2.3 Add '2.4' to each side of the equation. -2.4 + 2.4 + -1x = 2.3 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -1x = 2.3 + 2.4 -1x = 2.3 + 2.4 Combine like terms: 2.3 + 2.4 = 4.7 -1x = 4.7 Divide each side by '-1'. x = -4.7 Simplifying x = -4.7
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