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Simplifying 4x + -6 = 4 + 2(x + -7) Reorder the terms: -6 + 4x = 4 + 2(x + -7) Reorder the terms: -6 + 4x = 4 + 2(-7 + x) -6 + 4x = 4 + (-7 * 2 + x * 2) -6 + 4x = 4 + (-14 + 2x) Combine like terms: 4 + -14 = -10 -6 + 4x = -10 + 2x Solving -6 + 4x = -10 + 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. -6 + 4x + -2x = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = -10 + 0 -6 + 2x = -10 Add '6' to each side of the equation. -6 + 6 + 2x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -10 + 6 2x = -10 + 6 Combine like terms: -10 + 6 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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