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Simplifying 6(x + -7) + 24 = 3(x + -5) Reorder the terms: 6(-7 + x) + 24 = 3(x + -5) (-7 * 6 + x * 6) + 24 = 3(x + -5) (-42 + 6x) + 24 = 3(x + -5) Reorder the terms: -42 + 24 + 6x = 3(x + -5) Combine like terms: -42 + 24 = -18 -18 + 6x = 3(x + -5) Reorder the terms: -18 + 6x = 3(-5 + x) -18 + 6x = (-5 * 3 + x * 3) -18 + 6x = (-15 + 3x) Solving -18 + 6x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = -15 + 0 -18 + 3x = -15 Add '18' to each side of the equation. -18 + 18 + 3x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -15 + 18 3x = -15 + 18 Combine like terms: -15 + 18 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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