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Simplifying 99 + -1(6x + 16) = 6(x + 3) + x Reorder the terms: 99 + -1(16 + 6x) = 6(x + 3) + x 99 + (16 * -1 + 6x * -1) = 6(x + 3) + x 99 + (-16 + -6x) = 6(x + 3) + x Combine like terms: 99 + -16 = 83 83 + -6x = 6(x + 3) + x Reorder the terms: 83 + -6x = 6(3 + x) + x 83 + -6x = (3 * 6 + x * 6) + x 83 + -6x = (18 + 6x) + x Combine like terms: 6x + x = 7x 83 + -6x = 18 + 7x Solving 83 + -6x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 83 + -6x + -7x = 18 + 7x + -7x Combine like terms: -6x + -7x = -13x 83 + -13x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 83 + -13x = 18 + 0 83 + -13x = 18 Add '-83' to each side of the equation. 83 + -83 + -13x = 18 + -83 Combine like terms: 83 + -83 = 0 0 + -13x = 18 + -83 -13x = 18 + -83 Combine like terms: 18 + -83 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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