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Simplifying -5(2x + 3) = 0.2(4 + -3x) + -4x Reorder the terms: -5(3 + 2x) = 0.2(4 + -3x) + -4x (3 * -5 + 2x * -5) = 0.2(4 + -3x) + -4x (-15 + -10x) = 0.2(4 + -3x) + -4x -15 + -10x = (4 * 0.2 + -3x * 0.2) + -4x -15 + -10x = (0.8 + -0.6x) + -4x Combine like terms: -0.6x + -4x = -4.6x -15 + -10x = 0.8 + -4.6x Solving -15 + -10x = 0.8 + -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. -15 + -10x + 4.6x = 0.8 + -4.6x + 4.6x Combine like terms: -10x + 4.6x = -5.4x -15 + -5.4x = 0.8 + -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -15 + -5.4x = 0.8 + 0.0 -15 + -5.4x = 0.8 Add '15' to each side of the equation. -15 + 15 + -5.4x = 0.8 + 15 Combine like terms: -15 + 15 = 0 0 + -5.4x = 0.8 + 15 -5.4x = 0.8 + 15 Combine like terms: 0.8 + 15 = 15.8 -5.4x = 15.8 Divide each side by '-5.4'. x = -2.925925926 Simplifying x = -2.925925926
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