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Simplifying 54 + -7x = 4(-2x + 12) Reorder the terms: 54 + -7x = 4(12 + -2x) 54 + -7x = (12 * 4 + -2x * 4) 54 + -7x = (48 + -8x) Solving 54 + -7x = 48 + -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 + -7x + 8x = 48 + -8x + 8x Combine like terms: -7x + 8x = 1x 54 + 1x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 54 + 1x = 48 + 0 54 + 1x = 48 Add '-54' to each side of the equation. 54 + -54 + 1x = 48 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 48 + -54 1x = 48 + -54 Combine like terms: 48 + -54 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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