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Simplifying 4(x + 8) = 8x + -3x + 30 Reorder the terms: 4(8 + x) = 8x + -3x + 30 (8 * 4 + x * 4) = 8x + -3x + 30 (32 + 4x) = 8x + -3x + 30 Reorder the terms: 32 + 4x = 30 + 8x + -3x Combine like terms: 8x + -3x = 5x 32 + 4x = 30 + 5x Solving 32 + 4x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 4x + -5x = 30 + 5x + -5x Combine like terms: 4x + -5x = -1x 32 + -1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -1x = 30 + 0 32 + -1x = 30 Add '-32' to each side of the equation. 32 + -32 + -1x = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 30 + -32 -1x = 30 + -32 Combine like terms: 30 + -32 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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