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Simplifying 2x + 10 = 4x + 2(x + -7) Reorder the terms: 10 + 2x = 4x + 2(x + -7) Reorder the terms: 10 + 2x = 4x + 2(-7 + x) 10 + 2x = 4x + (-7 * 2 + x * 2) 10 + 2x = 4x + (-14 + 2x) Reorder the terms: 10 + 2x = -14 + 4x + 2x Combine like terms: 4x + 2x = 6x 10 + 2x = -14 + 6x Solving 10 + 2x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = -14 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = -14 + 0 10 + -4x = -14 Add '-10' to each side of the equation. 10 + -10 + -4x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -14 + -10 -4x = -14 + -10 Combine like terms: -14 + -10 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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