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Simplifying 7 + -4(2x + 1) = 23 + 2x Reorder the terms: 7 + -4(1 + 2x) = 23 + 2x 7 + (1 * -4 + 2x * -4) = 23 + 2x 7 + (-4 + -8x) = 23 + 2x Combine like terms: 7 + -4 = 3 3 + -8x = 23 + 2x Solving 3 + -8x = 23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + -8x + -2x = 23 + 2x + -2x Combine like terms: -8x + -2x = -10x 3 + -10x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -10x = 23 + 0 3 + -10x = 23 Add '-3' to each side of the equation. 3 + -3 + -10x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 23 + -3 -10x = 23 + -3 Combine like terms: 23 + -3 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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