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Simplifying 0.4(x + 3) + -0.7(x + 3) = 0.3x + -0.9 Reorder the terms: 0.4(3 + x) + -0.7(x + 3) = 0.3x + -0.9 (3 * 0.4 + x * 0.4) + -0.7(x + 3) = 0.3x + -0.9 (1.2 + 0.4x) + -0.7(x + 3) = 0.3x + -0.9 Reorder the terms: 1.2 + 0.4x + -0.7(3 + x) = 0.3x + -0.9 1.2 + 0.4x + (3 * -0.7 + x * -0.7) = 0.3x + -0.9 1.2 + 0.4x + (-2.1 + -0.7x) = 0.3x + -0.9 Reorder the terms: 1.2 + -2.1 + 0.4x + -0.7x = 0.3x + -0.9 Combine like terms: 1.2 + -2.1 = -0.9 -0.9 + 0.4x + -0.7x = 0.3x + -0.9 Combine like terms: 0.4x + -0.7x = -0.3x -0.9 + -0.3x = 0.3x + -0.9 Reorder the terms: -0.9 + -0.3x = -0.9 + 0.3x Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.3x = -0.9 + 0.9 + 0.3x Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.3x = -0.9 + 0.9 + 0.3x -0.3x = -0.9 + 0.9 + 0.3x Combine like terms: -0.9 + 0.9 = 0.0 -0.3x = 0.0 + 0.3x -0.3x = 0.3x Solving -0.3x = 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.3x + -0.3x = 0.3x + -0.3x Combine like terms: -0.3x + -0.3x = -0.6x -0.6x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6x = 0.0 Divide each side by '-0.6'. x = 0 Simplifying x = 0
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