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Simplifying 10 + -4x = -6(-5x + 5) + 6 Reorder the terms: 10 + -4x = -6(5 + -5x) + 6 10 + -4x = (5 * -6 + -5x * -6) + 6 10 + -4x = (-30 + 30x) + 6 Reorder the terms: 10 + -4x = -30 + 6 + 30x Combine like terms: -30 + 6 = -24 10 + -4x = -24 + 30x Solving 10 + -4x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + -4x + -30x = -24 + 30x + -30x Combine like terms: -4x + -30x = -34x 10 + -34x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -34x = -24 + 0 10 + -34x = -24 Add '-10' to each side of the equation. 10 + -10 + -34x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -34x = -24 + -10 -34x = -24 + -10 Combine like terms: -24 + -10 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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