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Simplifying 4(2x + 2) + 7(x + -2) = 0 Reorder the terms: 4(2 + 2x) + 7(x + -2) = 0 (2 * 4 + 2x * 4) + 7(x + -2) = 0 (8 + 8x) + 7(x + -2) = 0 Reorder the terms: 8 + 8x + 7(-2 + x) = 0 8 + 8x + (-2 * 7 + x * 7) = 0 8 + 8x + (-14 + 7x) = 0 Reorder the terms: 8 + -14 + 8x + 7x = 0 Combine like terms: 8 + -14 = -6 -6 + 8x + 7x = 0 Combine like terms: 8x + 7x = 15x -6 + 15x = 0 Solving -6 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 0 + 6 15x = 0 + 6 Combine like terms: 0 + 6 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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