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Simplifying 2 + 4(2x + -2) = -2(7x + -6) + 7x Reorder the terms: 2 + 4(-2 + 2x) = -2(7x + -6) + 7x 2 + (-2 * 4 + 2x * 4) = -2(7x + -6) + 7x 2 + (-8 + 8x) = -2(7x + -6) + 7x Combine like terms: 2 + -8 = -6 -6 + 8x = -2(7x + -6) + 7x Reorder the terms: -6 + 8x = -2(-6 + 7x) + 7x -6 + 8x = (-6 * -2 + 7x * -2) + 7x -6 + 8x = (12 + -14x) + 7x Combine like terms: -14x + 7x = -7x -6 + 8x = 12 + -7x Solving -6 + 8x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 8x + 7x = 12 + -7x + 7x Combine like terms: 8x + 7x = 15x -6 + 15x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 15x = 12 + 0 -6 + 15x = 12 Add '6' to each side of the equation. -6 + 6 + 15x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 12 + 6 15x = 12 + 6 Combine like terms: 12 + 6 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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