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Simplifying 8x + -3 = 7(x + -2) + -7 Reorder the terms: -3 + 8x = 7(x + -2) + -7 Reorder the terms: -3 + 8x = 7(-2 + x) + -7 -3 + 8x = (-2 * 7 + x * 7) + -7 -3 + 8x = (-14 + 7x) + -7 Reorder the terms: -3 + 8x = -14 + -7 + 7x Combine like terms: -14 + -7 = -21 -3 + 8x = -21 + 7x Solving -3 + 8x = -21 + 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. -3 + 8x + -7x = -21 + 7x + -7x Combine like terms: 8x + -7x = 1x -3 + 1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 1x = -21 + 0 -3 + 1x = -21 Add '3' to each side of the equation. -3 + 3 + 1x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -21 + 3 1x = -21 + 3 Combine like terms: -21 + 3 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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