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Simplifying 0.5(3x + -4) + -0.7 = 0.4(5 + 4x) Reorder the terms: 0.5(-4 + 3x) + -0.7 = 0.4(5 + 4x) (-4 * 0.5 + 3x * 0.5) + -0.7 = 0.4(5 + 4x) (-2 + 1.5x) + -0.7 = 0.4(5 + 4x) Reorder the terms: -2 + -0.7 + 1.5x = 0.4(5 + 4x) Combine like terms: -2 + -0.7 = -2.7 -2.7 + 1.5x = 0.4(5 + 4x) -2.7 + 1.5x = (5 * 0.4 + 4x * 0.4) -2.7 + 1.5x = (2 + 1.6x) Solving -2.7 + 1.5x = 2 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -2.7 + 1.5x + -1.6x = 2 + 1.6x + -1.6x Combine like terms: 1.5x + -1.6x = -0.1x -2.7 + -0.1x = 2 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -2.7 + -0.1x = 2 + 0.0 -2.7 + -0.1x = 2 Add '2.7' to each side of the equation. -2.7 + 2.7 + -0.1x = 2 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -0.1x = 2 + 2.7 -0.1x = 2 + 2.7 Combine like terms: 2 + 2.7 = 4.7 -0.1x = 4.7 Divide each side by '-0.1'. x = -47 Simplifying x = -47
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