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Simplifying 0.5x + -0.7 + 0.3x + -1.5 = 0.6x + -4 + 1.7x Reorder the terms: -0.7 + -1.5 + 0.5x + 0.3x = 0.6x + -4 + 1.7x Combine like terms: -0.7 + -1.5 = -2.2 -2.2 + 0.5x + 0.3x = 0.6x + -4 + 1.7x Combine like terms: 0.5x + 0.3x = 0.8x -2.2 + 0.8x = 0.6x + -4 + 1.7x Reorder the terms: -2.2 + 0.8x = -4 + 0.6x + 1.7x Combine like terms: 0.6x + 1.7x = 2.3x -2.2 + 0.8x = -4 + 2.3x Solving -2.2 + 0.8x = -4 + 2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.3x' to each side of the equation. -2.2 + 0.8x + -2.3x = -4 + 2.3x + -2.3x Combine like terms: 0.8x + -2.3x = -1.5x -2.2 + -1.5x = -4 + 2.3x + -2.3x Combine like terms: 2.3x + -2.3x = 0.0 -2.2 + -1.5x = -4 + 0.0 -2.2 + -1.5x = -4 Add '2.2' to each side of the equation. -2.2 + 2.2 + -1.5x = -4 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -1.5x = -4 + 2.2 -1.5x = -4 + 2.2 Combine like terms: -4 + 2.2 = -1.8 -1.5x = -1.8 Divide each side by '-1.5'. x = 1.2 Simplifying x = 1.2
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