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Simplifying x + -54 = 4(2x + 3) + -10 Reorder the terms: -54 + x = 4(2x + 3) + -10 Reorder the terms: -54 + x = 4(3 + 2x) + -10 -54 + x = (3 * 4 + 2x * 4) + -10 -54 + x = (12 + 8x) + -10 Reorder the terms: -54 + x = 12 + -10 + 8x Combine like terms: 12 + -10 = 2 -54 + x = 2 + 8x Solving -54 + x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -54 + x + -8x = 2 + 8x + -8x Combine like terms: x + -8x = -7x -54 + -7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + -7x = 2 + 0 -54 + -7x = 2 Add '54' to each side of the equation. -54 + 54 + -7x = 2 + 54 Combine like terms: -54 + 54 = 0 0 + -7x = 2 + 54 -7x = 2 + 54 Combine like terms: 2 + 54 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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