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Simplifying 4x + -2(3x + -7) = 2(4 + 3x) + 2 Reorder the terms: 4x + -2(-7 + 3x) = 2(4 + 3x) + 2 4x + (-7 * -2 + 3x * -2) = 2(4 + 3x) + 2 4x + (14 + -6x) = 2(4 + 3x) + 2 Reorder the terms: 14 + 4x + -6x = 2(4 + 3x) + 2 Combine like terms: 4x + -6x = -2x 14 + -2x = 2(4 + 3x) + 2 14 + -2x = (4 * 2 + 3x * 2) + 2 14 + -2x = (8 + 6x) + 2 Reorder the terms: 14 + -2x = 8 + 2 + 6x Combine like terms: 8 + 2 = 10 14 + -2x = 10 + 6x Solving 14 + -2x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -2x + -6x = 10 + 6x + -6x Combine like terms: -2x + -6x = -8x 14 + -8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -8x = 10 + 0 14 + -8x = 10 Add '-14' to each side of the equation. 14 + -14 + -8x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 10 + -14 -8x = 10 + -14 Combine like terms: 10 + -14 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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