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Simplifying 10 + 4(3x + 1) = 5x + -7 + -2x Reorder the terms: 10 + 4(1 + 3x) = 5x + -7 + -2x 10 + (1 * 4 + 3x * 4) = 5x + -7 + -2x 10 + (4 + 12x) = 5x + -7 + -2x Combine like terms: 10 + 4 = 14 14 + 12x = 5x + -7 + -2x Reorder the terms: 14 + 12x = -7 + 5x + -2x Combine like terms: 5x + -2x = 3x 14 + 12x = -7 + 3x Solving 14 + 12x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 12x + -3x = -7 + 3x + -3x Combine like terms: 12x + -3x = 9x 14 + 9x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 9x = -7 + 0 14 + 9x = -7 Add '-14' to each side of the equation. 14 + -14 + 9x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = -7 + -14 9x = -7 + -14 Combine like terms: -7 + -14 = -21 9x = -21 Divide each side by '9'. x = -2.333333333 Simplifying x = -2.333333333
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