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Simplifying 0.4(x + 3) = 2x + -1.5 + x Reorder the terms: 0.4(3 + x) = 2x + -1.5 + x (3 * 0.4 + x * 0.4) = 2x + -1.5 + x (1.2 + 0.4x) = 2x + -1.5 + x Reorder the terms: 1.2 + 0.4x = -1.5 + 2x + x Combine like terms: 2x + x = 3x 1.2 + 0.4x = -1.5 + 3x Solving 1.2 + 0.4x = -1.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1.2 + 0.4x + -3x = -1.5 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x 1.2 + -2.6x = -1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 1.2 + -2.6x = -1.5 + 0 1.2 + -2.6x = -1.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -2.6x = -1.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2.6x = -1.5 + -1.2 -2.6x = -1.5 + -1.2 Combine like terms: -1.5 + -1.2 = -2.7 -2.6x = -2.7 Divide each side by '-2.6'. x = 1.038461538 Simplifying x = 1.038461538
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