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Simplifying 10(x + -3) = 6(x + 7) Reorder the terms: 10(-3 + x) = 6(x + 7) (-3 * 10 + x * 10) = 6(x + 7) (-30 + 10x) = 6(x + 7) Reorder the terms: -30 + 10x = 6(7 + x) -30 + 10x = (7 * 6 + x * 6) -30 + 10x = (42 + 6x) Solving -30 + 10x = 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 + 10x + -6x = 42 + 6x + -6x Combine like terms: 10x + -6x = 4x -30 + 4x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 4x = 42 + 0 -30 + 4x = 42 Add '30' to each side of the equation. -30 + 30 + 4x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 42 + 30 4x = 42 + 30 Combine like terms: 42 + 30 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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