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Simplifying 4x + -6(-5 + 2x) + 30 = 64 + -4x 4x + (-5 * -6 + 2x * -6) + 30 = 64 + -4x 4x + (30 + -12x) + 30 = 64 + -4x Reorder the terms: 30 + 30 + 4x + -12x = 64 + -4x Combine like terms: 30 + 30 = 60 60 + 4x + -12x = 64 + -4x Combine like terms: 4x + -12x = -8x 60 + -8x = 64 + -4x Solving 60 + -8x = 64 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 60 + -8x + 4x = 64 + -4x + 4x Combine like terms: -8x + 4x = -4x 60 + -4x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 60 + -4x = 64 + 0 60 + -4x = 64 Add '-60' to each side of the equation. 60 + -60 + -4x = 64 + -60 Combine like terms: 60 + -60 = 0 0 + -4x = 64 + -60 -4x = 64 + -60 Combine like terms: 64 + -60 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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