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Simplifying 8(x + -4) + 33 = 7(x + 3) Reorder the terms: 8(-4 + x) + 33 = 7(x + 3) (-4 * 8 + x * 8) + 33 = 7(x + 3) (-32 + 8x) + 33 = 7(x + 3) Reorder the terms: -32 + 33 + 8x = 7(x + 3) Combine like terms: -32 + 33 = 1 1 + 8x = 7(x + 3) Reorder the terms: 1 + 8x = 7(3 + x) 1 + 8x = (3 * 7 + x * 7) 1 + 8x = (21 + 7x) Solving 1 + 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. 1 + 8x + -7x = 21 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 21 + 0 1 + 1x = 21 Add '-1' to each side of the equation. 1 + -1 + 1x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 21 + -1 1x = 21 + -1 Combine like terms: 21 + -1 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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