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Simplifying 167 = 7x + 3(4x + -14) Reorder the terms: 167 = 7x + 3(-14 + 4x) 167 = 7x + (-14 * 3 + 4x * 3) 167 = 7x + (-42 + 12x) Reorder the terms: 167 = -42 + 7x + 12x Combine like terms: 7x + 12x = 19x 167 = -42 + 19x Solving 167 = -42 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 167 + -19x = -42 + 19x + -19x Combine like terms: 19x + -19x = 0 167 + -19x = -42 + 0 167 + -19x = -42 Add '-167' to each side of the equation. 167 + -167 + -19x = -42 + -167 Combine like terms: 167 + -167 = 0 0 + -19x = -42 + -167 -19x = -42 + -167 Combine like terms: -42 + -167 = -209 -19x = -209 Divide each side by '-19'. x = 11 Simplifying x = 11
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