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Simplifying 2x + 43 = 5(2x + 3) + -4 Reorder the terms: 43 + 2x = 5(2x + 3) + -4 Reorder the terms: 43 + 2x = 5(3 + 2x) + -4 43 + 2x = (3 * 5 + 2x * 5) + -4 43 + 2x = (15 + 10x) + -4 Reorder the terms: 43 + 2x = 15 + -4 + 10x Combine like terms: 15 + -4 = 11 43 + 2x = 11 + 10x Solving 43 + 2x = 11 + 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. 43 + 2x + -10x = 11 + 10x + -10x Combine like terms: 2x + -10x = -8x 43 + -8x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 43 + -8x = 11 + 0 43 + -8x = 11 Add '-43' to each side of the equation. 43 + -43 + -8x = 11 + -43 Combine like terms: 43 + -43 = 0 0 + -8x = 11 + -43 -8x = 11 + -43 Combine like terms: 11 + -43 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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