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Simplifying 0.4(x + 2) + -7(x + 2) = -0.3x + -0.6 Reorder the terms: 0.4(2 + x) + -7(x + 2) = -0.3x + -0.6 (2 * 0.4 + x * 0.4) + -7(x + 2) = -0.3x + -0.6 (0.8 + 0.4x) + -7(x + 2) = -0.3x + -0.6 Reorder the terms: 0.8 + 0.4x + -7(2 + x) = -0.3x + -0.6 0.8 + 0.4x + (2 * -7 + x * -7) = -0.3x + -0.6 0.8 + 0.4x + (-14 + -7x) = -0.3x + -0.6 Reorder the terms: 0.8 + -14 + 0.4x + -7x = -0.3x + -0.6 Combine like terms: 0.8 + -14 = -13.2 -13.2 + 0.4x + -7x = -0.3x + -0.6 Combine like terms: 0.4x + -7x = -6.6x -13.2 + -6.6x = -0.3x + -0.6 Reorder the terms: -13.2 + -6.6x = -0.6 + -0.3x Solving -13.2 + -6.6x = -0.6 + -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. -13.2 + -6.6x + 0.3x = -0.6 + -0.3x + 0.3x Combine like terms: -6.6x + 0.3x = -6.3x -13.2 + -6.3x = -0.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -13.2 + -6.3x = -0.6 + 0.0 -13.2 + -6.3x = -0.6 Add '13.2' to each side of the equation. -13.2 + 13.2 + -6.3x = -0.6 + 13.2 Combine like terms: -13.2 + 13.2 = 0.0 0.0 + -6.3x = -0.6 + 13.2 -6.3x = -0.6 + 13.2 Combine like terms: -0.6 + 13.2 = 12.6 -6.3x = 12.6 Divide each side by '-6.3'. x = -2 Simplifying x = -2
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