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Simplifying -14 + 3(x + -10) = 7(2x + 4) + x Reorder the terms: -14 + 3(-10 + x) = 7(2x + 4) + x -14 + (-10 * 3 + x * 3) = 7(2x + 4) + x -14 + (-30 + 3x) = 7(2x + 4) + x Combine like terms: -14 + -30 = -44 -44 + 3x = 7(2x + 4) + x Reorder the terms: -44 + 3x = 7(4 + 2x) + x -44 + 3x = (4 * 7 + 2x * 7) + x -44 + 3x = (28 + 14x) + x Combine like terms: 14x + x = 15x -44 + 3x = 28 + 15x Solving -44 + 3x = 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. -44 + 3x + -15x = 28 + 15x + -15x Combine like terms: 3x + -15x = -12x -44 + -12x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 -44 + -12x = 28 + 0 -44 + -12x = 28 Add '44' to each side of the equation. -44 + 44 + -12x = 28 + 44 Combine like terms: -44 + 44 = 0 0 + -12x = 28 + 44 -12x = 28 + 44 Combine like terms: 28 + 44 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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