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Simplifying 3(3x + -2) + -6(4 + -1x) = 24x + -4(7x + -2) Reorder the terms: 3(-2 + 3x) + -6(4 + -1x) = 24x + -4(7x + -2) (-2 * 3 + 3x * 3) + -6(4 + -1x) = 24x + -4(7x + -2) (-6 + 9x) + -6(4 + -1x) = 24x + -4(7x + -2) -6 + 9x + (4 * -6 + -1x * -6) = 24x + -4(7x + -2) -6 + 9x + (-24 + 6x) = 24x + -4(7x + -2) Reorder the terms: -6 + -24 + 9x + 6x = 24x + -4(7x + -2) Combine like terms: -6 + -24 = -30 -30 + 9x + 6x = 24x + -4(7x + -2) Combine like terms: 9x + 6x = 15x -30 + 15x = 24x + -4(7x + -2) Reorder the terms: -30 + 15x = 24x + -4(-2 + 7x) -30 + 15x = 24x + (-2 * -4 + 7x * -4) -30 + 15x = 24x + (8 + -28x) Reorder the terms: -30 + 15x = 8 + 24x + -28x Combine like terms: 24x + -28x = -4x -30 + 15x = 8 + -4x Solving -30 + 15x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 15x + 4x = 8 + -4x + 4x Combine like terms: 15x + 4x = 19x -30 + 19x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 19x = 8 + 0 -30 + 19x = 8 Add '30' to each side of the equation. -30 + 30 + 19x = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = 8 + 30 19x = 8 + 30 Combine like terms: 8 + 30 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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