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Simplifying -14 + (x + 10) = 7(2x + 4) + x Reorder the terms: -14 + (10 + x) = 7(2x + 4) + x Remove parenthesis around (10 + x) -14 + 10 + x = 7(2x + 4) + x Combine like terms: -14 + 10 = -4 -4 + x = 7(2x + 4) + x Reorder the terms: -4 + x = 7(4 + 2x) + x -4 + x = (4 * 7 + 2x * 7) + x -4 + x = (28 + 14x) + x Combine like terms: 14x + x = 15x -4 + x = 28 + 15x Solving -4 + x = 28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + x + -15x = 28 + 15x + -15x Combine like terms: x + -15x = -14x -4 + -14x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -14x = 28 + 0 -4 + -14x = 28 Add '4' to each side of the equation. -4 + 4 + -14x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 28 + 4 -14x = 28 + 4 Combine like terms: 28 + 4 = 32 -14x = 32 Divide each side by '-14'. x = -2.285714286 Simplifying x = -2.285714286
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