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Simplifying 3(x + -7) = 6(x + -10) Reorder the terms: 3(-7 + x) = 6(x + -10) (-7 * 3 + x * 3) = 6(x + -10) (-21 + 3x) = 6(x + -10) Reorder the terms: -21 + 3x = 6(-10 + x) -21 + 3x = (-10 * 6 + x * 6) -21 + 3x = (-60 + 6x) Solving -21 + 3x = -60 + 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. -21 + 3x + -6x = -60 + 6x + -6x Combine like terms: 3x + -6x = -3x -21 + -3x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -3x = -60 + 0 -21 + -3x = -60 Add '21' to each side of the equation. -21 + 21 + -3x = -60 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -60 + 21 -3x = -60 + 21 Combine like terms: -60 + 21 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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