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Simplifying 4(3 + x) + 10 = (x + -6) + 1 (3 * 4 + x * 4) + 10 = (x + -6) + 1 (12 + 4x) + 10 = (x + -6) + 1 Reorder the terms: 12 + 10 + 4x = (x + -6) + 1 Combine like terms: 12 + 10 = 22 22 + 4x = (x + -6) + 1 Reorder the terms: 22 + 4x = (-6 + x) + 1 Remove parenthesis around (-6 + x) 22 + 4x = -6 + x + 1 Reorder the terms: 22 + 4x = -6 + 1 + x Combine like terms: -6 + 1 = -5 22 + 4x = -5 + x Solving 22 + 4x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 22 + 4x + -1x = -5 + x + -1x Combine like terms: 4x + -1x = 3x 22 + 3x = -5 + x + -1x Combine like terms: x + -1x = 0 22 + 3x = -5 + 0 22 + 3x = -5 Add '-22' to each side of the equation. 22 + -22 + 3x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = -5 + -22 3x = -5 + -22 Combine like terms: -5 + -22 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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