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Simplifying 4x + 7 = 5 + -9(2x + 3) Reorder the terms: 7 + 4x = 5 + -9(2x + 3) Reorder the terms: 7 + 4x = 5 + -9(3 + 2x) 7 + 4x = 5 + (3 * -9 + 2x * -9) 7 + 4x = 5 + (-27 + -18x) Combine like terms: 5 + -27 = -22 7 + 4x = -22 + -18x Solving 7 + 4x = -22 + -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. 7 + 4x + 18x = -22 + -18x + 18x Combine like terms: 4x + 18x = 22x 7 + 22x = -22 + -18x + 18x Combine like terms: -18x + 18x = 0 7 + 22x = -22 + 0 7 + 22x = -22 Add '-7' to each side of the equation. 7 + -7 + 22x = -22 + -7 Combine like terms: 7 + -7 = 0 0 + 22x = -22 + -7 22x = -22 + -7 Combine like terms: -22 + -7 = -29 22x = -29 Divide each side by '22'. x = -1.318181818 Simplifying x = -1.318181818
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