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Simplifying 10 + 3x = 2(3x + 4) + 5 Reorder the terms: 10 + 3x = 2(4 + 3x) + 5 10 + 3x = (4 * 2 + 3x * 2) + 5 10 + 3x = (8 + 6x) + 5 Reorder the terms: 10 + 3x = 8 + 5 + 6x Combine like terms: 8 + 5 = 13 10 + 3x = 13 + 6x Solving 10 + 3x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 3x + -6x = 13 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = 13 + 0 10 + -3x = 13 Add '-10' to each side of the equation. 10 + -10 + -3x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 13 + -10 -3x = 13 + -10 Combine like terms: 13 + -10 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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