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Simplifying 1.2(x + -5) = 0.7(2x + 3) Reorder the terms: 1.2(-5 + x) = 0.7(2x + 3) (-5 * 1.2 + x * 1.2) = 0.7(2x + 3) (-6 + 1.2x) = 0.7(2x + 3) Reorder the terms: -6 + 1.2x = 0.7(3 + 2x) -6 + 1.2x = (3 * 0.7 + 2x * 0.7) -6 + 1.2x = (2.1 + 1.4x) Solving -6 + 1.2x = 2.1 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -6 + 1.2x + -1.4x = 2.1 + 1.4x + -1.4x Combine like terms: 1.2x + -1.4x = -0.2x -6 + -0.2x = 2.1 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -6 + -0.2x = 2.1 + 0.0 -6 + -0.2x = 2.1 Add '6' to each side of the equation. -6 + 6 + -0.2x = 2.1 + 6 Combine like terms: -6 + 6 = 0 0 + -0.2x = 2.1 + 6 -0.2x = 2.1 + 6 Combine like terms: 2.1 + 6 = 8.1 -0.2x = 8.1 Divide each side by '-0.2'. x = -40.5 Simplifying x = -40.5
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