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Simplifying 7 + -5(x + 1) = 6 + -4(x + 2) Reorder the terms: 7 + -5(1 + x) = 6 + -4(x + 2) 7 + (1 * -5 + x * -5) = 6 + -4(x + 2) 7 + (-5 + -5x) = 6 + -4(x + 2) Combine like terms: 7 + -5 = 2 2 + -5x = 6 + -4(x + 2) Reorder the terms: 2 + -5x = 6 + -4(2 + x) 2 + -5x = 6 + (2 * -4 + x * -4) 2 + -5x = 6 + (-8 + -4x) Combine like terms: 6 + -8 = -2 2 + -5x = -2 + -4x Solving 2 + -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. 2 + -5x + 4x = -2 + -4x + 4x Combine like terms: -5x + 4x = -1x 2 + -1x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -1x = -2 + 0 2 + -1x = -2 Add '-2' to each side of the equation. 2 + -2 + -1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -2 + -2 -1x = -2 + -2 Combine like terms: -2 + -2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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