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Simplifying 5(x + 9) = 15x + 7 + 3x Reorder the terms: 5(9 + x) = 15x + 7 + 3x (9 * 5 + x * 5) = 15x + 7 + 3x (45 + 5x) = 15x + 7 + 3x Reorder the terms: 45 + 5x = 7 + 15x + 3x Combine like terms: 15x + 3x = 18x 45 + 5x = 7 + 18x Solving 45 + 5x = 7 + 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. 45 + 5x + -18x = 7 + 18x + -18x Combine like terms: 5x + -18x = -13x 45 + -13x = 7 + 18x + -18x Combine like terms: 18x + -18x = 0 45 + -13x = 7 + 0 45 + -13x = 7 Add '-45' to each side of the equation. 45 + -45 + -13x = 7 + -45 Combine like terms: 45 + -45 = 0 0 + -13x = 7 + -45 -13x = 7 + -45 Combine like terms: 7 + -45 = -38 -13x = -38 Divide each side by '-13'. x = 2.923076923 Simplifying x = 2.923076923
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