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Simplifying 3(x + 4) + 5(3x + -6) = 101 + x Reorder the terms: 3(4 + x) + 5(3x + -6) = 101 + x (4 * 3 + x * 3) + 5(3x + -6) = 101 + x (12 + 3x) + 5(3x + -6) = 101 + x Reorder the terms: 12 + 3x + 5(-6 + 3x) = 101 + x 12 + 3x + (-6 * 5 + 3x * 5) = 101 + x 12 + 3x + (-30 + 15x) = 101 + x Reorder the terms: 12 + -30 + 3x + 15x = 101 + x Combine like terms: 12 + -30 = -18 -18 + 3x + 15x = 101 + x Combine like terms: 3x + 15x = 18x -18 + 18x = 101 + x Solving -18 + 18x = 101 + 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. -18 + 18x + -1x = 101 + x + -1x Combine like terms: 18x + -1x = 17x -18 + 17x = 101 + x + -1x Combine like terms: x + -1x = 0 -18 + 17x = 101 + 0 -18 + 17x = 101 Add '18' to each side of the equation. -18 + 18 + 17x = 101 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = 101 + 18 17x = 101 + 18 Combine like terms: 101 + 18 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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