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Simplifying 105 + -1(4x + 14) = 4(x + 7) + x Reorder the terms: 105 + -1(14 + 4x) = 4(x + 7) + x 105 + (14 * -1 + 4x * -1) = 4(x + 7) + x 105 + (-14 + -4x) = 4(x + 7) + x Combine like terms: 105 + -14 = 91 91 + -4x = 4(x + 7) + x Reorder the terms: 91 + -4x = 4(7 + x) + x 91 + -4x = (7 * 4 + x * 4) + x 91 + -4x = (28 + 4x) + x Combine like terms: 4x + x = 5x 91 + -4x = 28 + 5x Solving 91 + -4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 91 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 91 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 91 + -9x = 28 + 0 91 + -9x = 28 Add '-91' to each side of the equation. 91 + -91 + -9x = 28 + -91 Combine like terms: 91 + -91 = 0 0 + -9x = 28 + -91 -9x = 28 + -91 Combine like terms: 28 + -91 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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