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Simplifying 6(3x + -2) + 4(2 + x) = 60 + -3(4 + -3x) Reorder the terms: 6(-2 + 3x) + 4(2 + x) = 60 + -3(4 + -3x) (-2 * 6 + 3x * 6) + 4(2 + x) = 60 + -3(4 + -3x) (-12 + 18x) + 4(2 + x) = 60 + -3(4 + -3x) -12 + 18x + (2 * 4 + x * 4) = 60 + -3(4 + -3x) -12 + 18x + (8 + 4x) = 60 + -3(4 + -3x) Reorder the terms: -12 + 8 + 18x + 4x = 60 + -3(4 + -3x) Combine like terms: -12 + 8 = -4 -4 + 18x + 4x = 60 + -3(4 + -3x) Combine like terms: 18x + 4x = 22x -4 + 22x = 60 + -3(4 + -3x) -4 + 22x = 60 + (4 * -3 + -3x * -3) -4 + 22x = 60 + (-12 + 9x) Combine like terms: 60 + -12 = 48 -4 + 22x = 48 + 9x Solving -4 + 22x = 48 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 22x + -9x = 48 + 9x + -9x Combine like terms: 22x + -9x = 13x -4 + 13x = 48 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + 13x = 48 + 0 -4 + 13x = 48 Add '4' to each side of the equation. -4 + 4 + 13x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 48 + 4 13x = 48 + 4 Combine like terms: 48 + 4 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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