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Simplifying 4x + 9 = 2 + 7(x + -3) Reorder the terms: 9 + 4x = 2 + 7(x + -3) Reorder the terms: 9 + 4x = 2 + 7(-3 + x) 9 + 4x = 2 + (-3 * 7 + x * 7) 9 + 4x = 2 + (-21 + 7x) Combine like terms: 2 + -21 = -19 9 + 4x = -19 + 7x Solving 9 + 4x = -19 + 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. 9 + 4x + -7x = -19 + 7x + -7x Combine like terms: 4x + -7x = -3x 9 + -3x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -3x = -19 + 0 9 + -3x = -19 Add '-9' to each side of the equation. 9 + -9 + -3x = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -19 + -9 -3x = -19 + -9 Combine like terms: -19 + -9 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333
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