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Simplifying 2(x + 3) = 8 + 3x(2 + 4) + -13 Reorder the terms: 2(3 + x) = 8 + 3x(2 + 4) + -13 (3 * 2 + x * 2) = 8 + 3x(2 + 4) + -13 (6 + 2x) = 8 + 3x(2 + 4) + -13 Combine like terms: 2 + 4 = 6 6 + 2x = 8 + 3x(6) + -13 Reorder the terms for easier multiplication: 6 + 2x = 8 + 3 * 6x + -13 Multiply 3 * 6 6 + 2x = 8 + 18x + -13 Reorder the terms: 6 + 2x = 8 + -13 + 18x Combine like terms: 8 + -13 = -5 6 + 2x = -5 + 18x Solving 6 + 2x = -5 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 6 + 2x + -18x = -5 + 18x + -18x Combine like terms: 2x + -18x = -16x 6 + -16x = -5 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -16x = -5 + 0 6 + -16x = -5 Add '-6' to each side of the equation. 6 + -6 + -16x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -5 + -6 -16x = -5 + -6 Combine like terms: -5 + -6 = -11 -16x = -11 Divide each side by '-16'. x = 0.6875 Simplifying x = 0.6875
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