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Simplifying 3 + -3x + -2(1 + -1x) = 7(x + 3) + -28 3 + -3x + (1 * -2 + -1x * -2) = 7(x + 3) + -28 3 + -3x + (-2 + 2x) = 7(x + 3) + -28 Reorder the terms: 3 + -2 + -3x + 2x = 7(x + 3) + -28 Combine like terms: 3 + -2 = 1 1 + -3x + 2x = 7(x + 3) + -28 Combine like terms: -3x + 2x = -1x 1 + -1x = 7(x + 3) + -28 Reorder the terms: 1 + -1x = 7(3 + x) + -28 1 + -1x = (3 * 7 + x * 7) + -28 1 + -1x = (21 + 7x) + -28 Reorder the terms: 1 + -1x = 21 + -28 + 7x Combine like terms: 21 + -28 = -7 1 + -1x = -7 + 7x Solving 1 + -1x = -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. 1 + -1x + -7x = -7 + 7x + -7x Combine like terms: -1x + -7x = -8x 1 + -8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -8x = -7 + 0 1 + -8x = -7 Add '-1' to each side of the equation. 1 + -1 + -8x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -7 + -1 -8x = -7 + -1 Combine like terms: -7 + -1 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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