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Simplifying 7 + -5x = 4 + -2(2x + 1) Reorder the terms: 7 + -5x = 4 + -2(1 + 2x) 7 + -5x = 4 + (1 * -2 + 2x * -2) 7 + -5x = 4 + (-2 + -4x) Combine like terms: 4 + -2 = 2 7 + -5x = 2 + -4x Solving 7 + -5x = 2 + -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. 7 + -5x + 4x = 2 + -4x + 4x Combine like terms: -5x + 4x = -1x 7 + -1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -1x = 2 + 0 7 + -1x = 2 Add '-7' to each side of the equation. 7 + -7 + -1x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 2 + -7 -1x = 2 + -7 Combine like terms: 2 + -7 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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