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Simplifying 3x + -4y + -2(2x + -7) = 1 Reorder the terms: 3x + -4y + -2(-7 + 2x) = 1 3x + -4y + (-7 * -2 + 2x * -2) = 1 3x + -4y + (14 + -4x) = 1 Reorder the terms: 14 + 3x + -4x + -4y = 1 Combine like terms: 3x + -4x = -1x 14 + -1x + -4y = 1 Solving 14 + -1x + -4y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1x + -14 + -4y = 1 + -14 Reorder the terms: 14 + -14 + -1x + -4y = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -1x + -4y = 1 + -14 -1x + -4y = 1 + -14 Combine like terms: 1 + -14 = -13 -1x + -4y = -13 Add '4y' to each side of the equation. -1x + -4y + 4y = -13 + 4y Combine like terms: -4y + 4y = 0 -1x + 0 = -13 + 4y -1x = -13 + 4y Divide each side by '-1'. x = 13 + -4y Simplifying x = 13 + -4y
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