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Simplifying 0.4x + -3(2x + 1) = 0.5x + -4 Reorder the terms: 0.4x + -3(1 + 2x) = 0.5x + -4 0.4x + (1 * -3 + 2x * -3) = 0.5x + -4 0.4x + (-3 + -6x) = 0.5x + -4 Reorder the terms: -3 + 0.4x + -6x = 0.5x + -4 Combine like terms: 0.4x + -6x = -5.6x -3 + -5.6x = 0.5x + -4 Reorder the terms: -3 + -5.6x = -4 + 0.5x Solving -3 + -5.6x = -4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3 + -5.6x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: -5.6x + -0.5x = -6.1x -3 + -6.1x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + -6.1x = -4 + 0.0 -3 + -6.1x = -4 Add '3' to each side of the equation. -3 + 3 + -6.1x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -6.1x = -4 + 3 -6.1x = -4 + 3 Combine like terms: -4 + 3 = -1 -6.1x = -1 Divide each side by '-6.1'. x = 0.1639344262 Simplifying x = 0.1639344262
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