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Simplifying -9 + 14x = 4(3x + 38) + x Reorder the terms: -9 + 14x = 4(38 + 3x) + x -9 + 14x = (38 * 4 + 3x * 4) + x -9 + 14x = (152 + 12x) + x Combine like terms: 12x + x = 13x -9 + 14x = 152 + 13x Solving -9 + 14x = 152 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -9 + 14x + -13x = 152 + 13x + -13x Combine like terms: 14x + -13x = 1x -9 + 1x = 152 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + 1x = 152 + 0 -9 + 1x = 152 Add '9' to each side of the equation. -9 + 9 + 1x = 152 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 152 + 9 1x = 152 + 9 Combine like terms: 152 + 9 = 161 1x = 161 Divide each side by '1'. x = 161 Simplifying x = 161
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