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Simplifying 7(x + -2) + 21 = 4x + -3 Reorder the terms: 7(-2 + x) + 21 = 4x + -3 (-2 * 7 + x * 7) + 21 = 4x + -3 (-14 + 7x) + 21 = 4x + -3 Reorder the terms: -14 + 21 + 7x = 4x + -3 Combine like terms: -14 + 21 = 7 7 + 7x = 4x + -3 Reorder the terms: 7 + 7x = -3 + 4x Solving 7 + 7x = -3 + 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 + 7x + -4x = -3 + 4x + -4x Combine like terms: 7x + -4x = 3x 7 + 3x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 3x = -3 + 0 7 + 3x = -3 Add '-7' to each side of the equation. 7 + -7 + 3x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -3 + -7 3x = -3 + -7 Combine like terms: -3 + -7 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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