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Simplifying 4(x + 1) = 7(x + -2) + 21 Reorder the terms: 4(1 + x) = 7(x + -2) + 21 (1 * 4 + x * 4) = 7(x + -2) + 21 (4 + 4x) = 7(x + -2) + 21 Reorder the terms: 4 + 4x = 7(-2 + x) + 21 4 + 4x = (-2 * 7 + x * 7) + 21 4 + 4x = (-14 + 7x) + 21 Reorder the terms: 4 + 4x = -14 + 21 + 7x Combine like terms: -14 + 21 = 7 4 + 4x = 7 + 7x Solving 4 + 4x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 4x + -7x = 7 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = 7 + 0 4 + -3x = 7 Add '-4' to each side of the equation. 4 + -4 + -3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 7 + -4 -3x = 7 + -4 Combine like terms: 7 + -4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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