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Simplifying 4(x + 10) + 27 = 10x + -5 Reorder the terms: 4(10 + x) + 27 = 10x + -5 (10 * 4 + x * 4) + 27 = 10x + -5 (40 + 4x) + 27 = 10x + -5 Reorder the terms: 40 + 27 + 4x = 10x + -5 Combine like terms: 40 + 27 = 67 67 + 4x = 10x + -5 Reorder the terms: 67 + 4x = -5 + 10x Solving 67 + 4x = -5 + 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. 67 + 4x + -10x = -5 + 10x + -10x Combine like terms: 4x + -10x = -6x 67 + -6x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 67 + -6x = -5 + 0 67 + -6x = -5 Add '-67' to each side of the equation. 67 + -67 + -6x = -5 + -67 Combine like terms: 67 + -67 = 0 0 + -6x = -5 + -67 -6x = -5 + -67 Combine like terms: -5 + -67 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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