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Simplifying 4 + 3(x + 5) = 9(7 + -2x) Reorder the terms: 4 + 3(5 + x) = 9(7 + -2x) 4 + (5 * 3 + x * 3) = 9(7 + -2x) 4 + (15 + 3x) = 9(7 + -2x) Combine like terms: 4 + 15 = 19 19 + 3x = 9(7 + -2x) 19 + 3x = (7 * 9 + -2x * 9) 19 + 3x = (63 + -18x) Solving 19 + 3x = 63 + -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. 19 + 3x + 18x = 63 + -18x + 18x Combine like terms: 3x + 18x = 21x 19 + 21x = 63 + -18x + 18x Combine like terms: -18x + 18x = 0 19 + 21x = 63 + 0 19 + 21x = 63 Add '-19' to each side of the equation. 19 + -19 + 21x = 63 + -19 Combine like terms: 19 + -19 = 0 0 + 21x = 63 + -19 21x = 63 + -19 Combine like terms: 63 + -19 = 44 21x = 44 Divide each side by '21'. x = 2.095238095 Simplifying x = 2.095238095
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