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Simplifying 3x + -30 = 6(x + -7) Reorder the terms: -30 + 3x = 6(x + -7) Reorder the terms: -30 + 3x = 6(-7 + x) -30 + 3x = (-7 * 6 + x * 6) -30 + 3x = (-42 + 6x) Solving -30 + 3x = -42 + 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. -30 + 3x + -6x = -42 + 6x + -6x Combine like terms: 3x + -6x = -3x -30 + -3x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -3x = -42 + 0 -30 + -3x = -42 Add '30' to each side of the equation. -30 + 30 + -3x = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = -42 + 30 -3x = -42 + 30 Combine like terms: -42 + 30 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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