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Simplifying 4(2x + 3) + -3x = 47 + -3(x + 1) Reorder the terms: 4(3 + 2x) + -3x = 47 + -3(x + 1) (3 * 4 + 2x * 4) + -3x = 47 + -3(x + 1) (12 + 8x) + -3x = 47 + -3(x + 1) Combine like terms: 8x + -3x = 5x 12 + 5x = 47 + -3(x + 1) Reorder the terms: 12 + 5x = 47 + -3(1 + x) 12 + 5x = 47 + (1 * -3 + x * -3) 12 + 5x = 47 + (-3 + -3x) Combine like terms: 47 + -3 = 44 12 + 5x = 44 + -3x Solving 12 + 5x = 44 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 5x + 3x = 44 + -3x + 3x Combine like terms: 5x + 3x = 8x 12 + 8x = 44 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 8x = 44 + 0 12 + 8x = 44 Add '-12' to each side of the equation. 12 + -12 + 8x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 44 + -12 8x = 44 + -12 Combine like terms: 44 + -12 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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