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Simplifying 0.7x + -0.5(2x + 3) = -0.4(x + 2) Reorder the terms: 0.7x + -0.5(3 + 2x) = -0.4(x + 2) 0.7x + (3 * -0.5 + 2x * -0.5) = -0.4(x + 2) 0.7x + (-1.5 + -1x) = -0.4(x + 2) Reorder the terms: -1.5 + 0.7x + -1x = -0.4(x + 2) Combine like terms: 0.7x + -1x = -0.3x -1.5 + -0.3x = -0.4(x + 2) Reorder the terms: -1.5 + -0.3x = -0.4(2 + x) -1.5 + -0.3x = (2 * -0.4 + x * -0.4) -1.5 + -0.3x = (-0.8 + -0.4x) Solving -1.5 + -0.3x = -0.8 + -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. -1.5 + -0.3x + 0.4x = -0.8 + -0.4x + 0.4x Combine like terms: -0.3x + 0.4x = 0.1x -1.5 + 0.1x = -0.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1.5 + 0.1x = -0.8 + 0.0 -1.5 + 0.1x = -0.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1x = -0.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1x = -0.8 + 1.5 0.1x = -0.8 + 1.5 Combine like terms: -0.8 + 1.5 = 0.7 0.1x = 0.7 Divide each side by '0.1'. x = 7 Simplifying x = 7
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