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Simplifying 0.3x + 1 = 0.4(x + -2) Reorder the terms: 1 + 0.3x = 0.4(x + -2) Reorder the terms: 1 + 0.3x = 0.4(-2 + x) 1 + 0.3x = (-2 * 0.4 + x * 0.4) 1 + 0.3x = (-0.8 + 0.4x) Solving 1 + 0.3x = -0.8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1 + 0.3x + -0.4x = -0.8 + 0.4x + -0.4x Combine like terms: 0.3x + -0.4x = -0.1x 1 + -0.1x = -0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1 + -0.1x = -0.8 + 0.0 1 + -0.1x = -0.8 Add '-1' to each side of the equation. 1 + -1 + -0.1x = -0.8 + -1 Combine like terms: 1 + -1 = 0 0 + -0.1x = -0.8 + -1 -0.1x = -0.8 + -1 Combine like terms: -0.8 + -1 = -1.8 -0.1x = -1.8 Divide each side by '-0.1'. x = 18 Simplifying x = 18
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