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Simplifying 0.7(2x + -3) + -2(3 + -1x) = 0.4(x + 5) Reorder the terms: 0.7(-3 + 2x) + -2(3 + -1x) = 0.4(x + 5) (-3 * 0.7 + 2x * 0.7) + -2(3 + -1x) = 0.4(x + 5) (-2.1 + 1.4x) + -2(3 + -1x) = 0.4(x + 5) -2.1 + 1.4x + (3 * -2 + -1x * -2) = 0.4(x + 5) -2.1 + 1.4x + (-6 + 2x) = 0.4(x + 5) Reorder the terms: -2.1 + -6 + 1.4x + 2x = 0.4(x + 5) Combine like terms: -2.1 + -6 = -8.1 -8.1 + 1.4x + 2x = 0.4(x + 5) Combine like terms: 1.4x + 2x = 3.4x -8.1 + 3.4x = 0.4(x + 5) Reorder the terms: -8.1 + 3.4x = 0.4(5 + x) -8.1 + 3.4x = (5 * 0.4 + x * 0.4) -8.1 + 3.4x = (2 + 0.4x) Solving -8.1 + 3.4x = 2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -8.1 + 3.4x + -0.4x = 2 + 0.4x + -0.4x Combine like terms: 3.4x + -0.4x = 3x -8.1 + 3x = 2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -8.1 + 3x = 2 + 0.0 -8.1 + 3x = 2 Add '8.1' to each side of the equation. -8.1 + 8.1 + 3x = 2 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 3x = 2 + 8.1 3x = 2 + 8.1 Combine like terms: 2 + 8.1 = 10.1 3x = 10.1 Divide each side by '3'. x = 3.366666667 Simplifying x = 3.366666667
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