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Simplifying 4x + 34 + 3x + 77 = 6x + 23 + 4x + 64 Reorder the terms: 34 + 77 + 4x + 3x = 6x + 23 + 4x + 64 Combine like terms: 34 + 77 = 111 111 + 4x + 3x = 6x + 23 + 4x + 64 Combine like terms: 4x + 3x = 7x 111 + 7x = 6x + 23 + 4x + 64 Reorder the terms: 111 + 7x = 23 + 64 + 6x + 4x Combine like terms: 23 + 64 = 87 111 + 7x = 87 + 6x + 4x Combine like terms: 6x + 4x = 10x 111 + 7x = 87 + 10x Solving 111 + 7x = 87 + 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. 111 + 7x + -10x = 87 + 10x + -10x Combine like terms: 7x + -10x = -3x 111 + -3x = 87 + 10x + -10x Combine like terms: 10x + -10x = 0 111 + -3x = 87 + 0 111 + -3x = 87 Add '-111' to each side of the equation. 111 + -111 + -3x = 87 + -111 Combine like terms: 111 + -111 = 0 0 + -3x = 87 + -111 -3x = 87 + -111 Combine like terms: 87 + -111 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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