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Simplifying 3(x + 7) + -2(3x + 1) = x + 1 Reorder the terms: 3(7 + x) + -2(3x + 1) = x + 1 (7 * 3 + x * 3) + -2(3x + 1) = x + 1 (21 + 3x) + -2(3x + 1) = x + 1 Reorder the terms: 21 + 3x + -2(1 + 3x) = x + 1 21 + 3x + (1 * -2 + 3x * -2) = x + 1 21 + 3x + (-2 + -6x) = x + 1 Reorder the terms: 21 + -2 + 3x + -6x = x + 1 Combine like terms: 21 + -2 = 19 19 + 3x + -6x = x + 1 Combine like terms: 3x + -6x = -3x 19 + -3x = x + 1 Reorder the terms: 19 + -3x = 1 + x Solving 19 + -3x = 1 + 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 + -3x + -1x = 1 + x + -1x Combine like terms: -3x + -1x = -4x 19 + -4x = 1 + x + -1x Combine like terms: x + -1x = 0 19 + -4x = 1 + 0 19 + -4x = 1 Add '-19' to each side of the equation. 19 + -19 + -4x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 1 + -19 -4x = 1 + -19 Combine like terms: 1 + -19 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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