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Simplifying -3x + -4 + 7(x + -2) = 3x + 14 Reorder the terms: -3x + -4 + 7(-2 + x) = 3x + 14 -3x + -4 + (-2 * 7 + x * 7) = 3x + 14 -3x + -4 + (-14 + 7x) = 3x + 14 Reorder the terms: -4 + -14 + -3x + 7x = 3x + 14 Combine like terms: -4 + -14 = -18 -18 + -3x + 7x = 3x + 14 Combine like terms: -3x + 7x = 4x -18 + 4x = 3x + 14 Reorder the terms: -18 + 4x = 14 + 3x Solving -18 + 4x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 4x + -3x = 14 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = 14 + 0 -18 + 1x = 14 Add '18' to each side of the equation. -18 + 18 + 1x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 14 + 18 1x = 14 + 18 Combine like terms: 14 + 18 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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