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Simplifying 9(x + 7) + 3 = -4(x + -3) + -11 Reorder the terms: 9(7 + x) + 3 = -4(x + -3) + -11 (7 * 9 + x * 9) + 3 = -4(x + -3) + -11 (63 + 9x) + 3 = -4(x + -3) + -11 Reorder the terms: 63 + 3 + 9x = -4(x + -3) + -11 Combine like terms: 63 + 3 = 66 66 + 9x = -4(x + -3) + -11 Reorder the terms: 66 + 9x = -4(-3 + x) + -11 66 + 9x = (-3 * -4 + x * -4) + -11 66 + 9x = (12 + -4x) + -11 Reorder the terms: 66 + 9x = 12 + -11 + -4x Combine like terms: 12 + -11 = 1 66 + 9x = 1 + -4x Solving 66 + 9x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 66 + 9x + 4x = 1 + -4x + 4x Combine like terms: 9x + 4x = 13x 66 + 13x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 66 + 13x = 1 + 0 66 + 13x = 1 Add '-66' to each side of the equation. 66 + -66 + 13x = 1 + -66 Combine like terms: 66 + -66 = 0 0 + 13x = 1 + -66 13x = 1 + -66 Combine like terms: 1 + -66 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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