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Simplifying 0.4x + -0.5(2x + 3) = -7(x + 2) Reorder the terms: 0.4x + -0.5(3 + 2x) = -7(x + 2) 0.4x + (3 * -0.5 + 2x * -0.5) = -7(x + 2) 0.4x + (-1.5 + -1x) = -7(x + 2) Reorder the terms: -1.5 + 0.4x + -1x = -7(x + 2) Combine like terms: 0.4x + -1x = -0.6x -1.5 + -0.6x = -7(x + 2) Reorder the terms: -1.5 + -0.6x = -7(2 + x) -1.5 + -0.6x = (2 * -7 + x * -7) -1.5 + -0.6x = (-14 + -7x) Solving -1.5 + -0.6x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1.5 + -0.6x + 7x = -14 + -7x + 7x Combine like terms: -0.6x + 7x = 6.4x -1.5 + 6.4x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -1.5 + 6.4x = -14 + 0 -1.5 + 6.4x = -14 Add '1.5' to each side of the equation. -1.5 + 1.5 + 6.4x = -14 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 6.4x = -14 + 1.5 6.4x = -14 + 1.5 Combine like terms: -14 + 1.5 = -12.5 6.4x = -12.5 Divide each side by '6.4'. x = -1.953125 Simplifying x = -1.953125
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