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Simplifying 0.3x + 1.7 = 0.2x + -0.4(5x + 1) Reorder the terms: 1.7 + 0.3x = 0.2x + -0.4(5x + 1) Reorder the terms: 1.7 + 0.3x = 0.2x + -0.4(1 + 5x) 1.7 + 0.3x = 0.2x + (1 * -0.4 + 5x * -0.4) 1.7 + 0.3x = 0.2x + (-0.4 + -2x) Reorder the terms: 1.7 + 0.3x = -0.4 + 0.2x + -2x Combine like terms: 0.2x + -2x = -1.8x 1.7 + 0.3x = -0.4 + -1.8x Solving 1.7 + 0.3x = -0.4 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 1.7 + 0.3x + 1.8x = -0.4 + -1.8x + 1.8x Combine like terms: 0.3x + 1.8x = 2.1x 1.7 + 2.1x = -0.4 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 1.7 + 2.1x = -0.4 + 0.0 1.7 + 2.1x = -0.4 Add '-1.7' to each side of the equation. 1.7 + -1.7 + 2.1x = -0.4 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + 2.1x = -0.4 + -1.7 2.1x = -0.4 + -1.7 Combine like terms: -0.4 + -1.7 = -2.1 2.1x = -2.1 Divide each side by '2.1'. x = -1 Simplifying x = -1
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