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Simplifying 10x + 30 + 6x + 18 = 8x + 20 + 10x + 12 Reorder the terms: 30 + 18 + 10x + 6x = 8x + 20 + 10x + 12 Combine like terms: 30 + 18 = 48 48 + 10x + 6x = 8x + 20 + 10x + 12 Combine like terms: 10x + 6x = 16x 48 + 16x = 8x + 20 + 10x + 12 Reorder the terms: 48 + 16x = 20 + 12 + 8x + 10x Combine like terms: 20 + 12 = 32 48 + 16x = 32 + 8x + 10x Combine like terms: 8x + 10x = 18x 48 + 16x = 32 + 18x Solving 48 + 16x = 32 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 48 + 16x + -18x = 32 + 18x + -18x Combine like terms: 16x + -18x = -2x 48 + -2x = 32 + 18x + -18x Combine like terms: 18x + -18x = 0 48 + -2x = 32 + 0 48 + -2x = 32 Add '-48' to each side of the equation. 48 + -48 + -2x = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 32 + -48 -2x = 32 + -48 Combine like terms: 32 + -48 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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