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Simplifying 6x + 4 = 2(x + -5) + 10 Reorder the terms: 4 + 6x = 2(x + -5) + 10 Reorder the terms: 4 + 6x = 2(-5 + x) + 10 4 + 6x = (-5 * 2 + x * 2) + 10 4 + 6x = (-10 + 2x) + 10 Reorder the terms: 4 + 6x = -10 + 10 + 2x Combine like terms: -10 + 10 = 0 4 + 6x = 0 + 2x 4 + 6x = 2x Solving 4 + 6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 0 Add '-4' to each side of the equation. 4 + -4 + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 0 + -4 4x = 0 + -4 Combine like terms: 0 + -4 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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