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Simplifying 8x + 54 = 10(x + 4) Reorder the terms: 54 + 8x = 10(x + 4) Reorder the terms: 54 + 8x = 10(4 + x) 54 + 8x = (4 * 10 + x * 10) 54 + 8x = (40 + 10x) Solving 54 + 8x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 54 + 8x + -10x = 40 + 10x + -10x Combine like terms: 8x + -10x = -2x 54 + -2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + -2x = 40 + 0 54 + -2x = 40 Add '-54' to each side of the equation. 54 + -54 + -2x = 40 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = 40 + -54 -2x = 40 + -54 Combine like terms: 40 + -54 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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