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Simplifying 7(x + 3) + 3 = 7x + -3(3 + -1x) Reorder the terms: 7(3 + x) + 3 = 7x + -3(3 + -1x) (3 * 7 + x * 7) + 3 = 7x + -3(3 + -1x) (21 + 7x) + 3 = 7x + -3(3 + -1x) Reorder the terms: 21 + 3 + 7x = 7x + -3(3 + -1x) Combine like terms: 21 + 3 = 24 24 + 7x = 7x + -3(3 + -1x) 24 + 7x = 7x + (3 * -3 + -1x * -3) 24 + 7x = 7x + (-9 + 3x) Reorder the terms: 24 + 7x = -9 + 7x + 3x Combine like terms: 7x + 3x = 10x 24 + 7x = -9 + 10x Solving 24 + 7x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 7x + -10x = -9 + 10x + -10x Combine like terms: 7x + -10x = -3x 24 + -3x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -3x = -9 + 0 24 + -3x = -9 Add '-24' to each side of the equation. 24 + -24 + -3x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -9 + -24 -3x = -9 + -24 Combine like terms: -9 + -24 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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