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Simplifying 4x + -10 = 2(3x + -7) Reorder the terms: -10 + 4x = 2(3x + -7) Reorder the terms: -10 + 4x = 2(-7 + 3x) -10 + 4x = (-7 * 2 + 3x * 2) -10 + 4x = (-14 + 6x) Solving -10 + 4x = -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 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = -14 + 0 -10 + -2x = -14 Add '10' to each side of the equation. -10 + 10 + -2x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -14 + 10 -2x = -14 + 10 Combine like terms: -14 + 10 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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