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Simplifying 3(x + 7) + -1(x + 2) = x + -4 Reorder the terms: 3(7 + x) + -1(x + 2) = x + -4 (7 * 3 + x * 3) + -1(x + 2) = x + -4 (21 + 3x) + -1(x + 2) = x + -4 Reorder the terms: 21 + 3x + -1(2 + x) = x + -4 21 + 3x + (2 * -1 + x * -1) = x + -4 21 + 3x + (-2 + -1x) = x + -4 Reorder the terms: 21 + -2 + 3x + -1x = x + -4 Combine like terms: 21 + -2 = 19 19 + 3x + -1x = x + -4 Combine like terms: 3x + -1x = 2x 19 + 2x = x + -4 Reorder the terms: 19 + 2x = -4 + x Solving 19 + 2x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + 2x + -1x = -4 + x + -1x Combine like terms: 2x + -1x = 1x 19 + 1x = -4 + x + -1x Combine like terms: x + -1x = 0 19 + 1x = -4 + 0 19 + 1x = -4 Add '-19' to each side of the equation. 19 + -19 + 1x = -4 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = -4 + -19 1x = -4 + -19 Combine like terms: -4 + -19 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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