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Simplifying 5x + -2(2x + -7) = 2(3x + -1) + 7 Reorder the terms: 5x + -2(-7 + 2x) = 2(3x + -1) + 7 5x + (-7 * -2 + 2x * -2) = 2(3x + -1) + 7 5x + (14 + -4x) = 2(3x + -1) + 7 Reorder the terms: 14 + 5x + -4x = 2(3x + -1) + 7 Combine like terms: 5x + -4x = 1x 14 + 1x = 2(3x + -1) + 7 Reorder the terms: 14 + 1x = 2(-1 + 3x) + 7 14 + 1x = (-1 * 2 + 3x * 2) + 7 14 + 1x = (-2 + 6x) + 7 Reorder the terms: 14 + 1x = -2 + 7 + 6x Combine like terms: -2 + 7 = 5 14 + 1x = 5 + 6x Solving 14 + 1x = 5 + 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 + 1x + -6x = 5 + 6x + -6x Combine like terms: 1x + -6x = -5x 14 + -5x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -5x = 5 + 0 14 + -5x = 5 Add '-14' to each side of the equation. 14 + -14 + -5x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 5 + -14 -5x = 5 + -14 Combine like terms: 5 + -14 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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