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Simplifying 6(4x + -2) + -9 = 5(3x + 12) + 15 Reorder the terms: 6(-2 + 4x) + -9 = 5(3x + 12) + 15 (-2 * 6 + 4x * 6) + -9 = 5(3x + 12) + 15 (-12 + 24x) + -9 = 5(3x + 12) + 15 Reorder the terms: -12 + -9 + 24x = 5(3x + 12) + 15 Combine like terms: -12 + -9 = -21 -21 + 24x = 5(3x + 12) + 15 Reorder the terms: -21 + 24x = 5(12 + 3x) + 15 -21 + 24x = (12 * 5 + 3x * 5) + 15 -21 + 24x = (60 + 15x) + 15 Reorder the terms: -21 + 24x = 60 + 15 + 15x Combine like terms: 60 + 15 = 75 -21 + 24x = 75 + 15x Solving -21 + 24x = 75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 24x + -15x = 75 + 15x + -15x Combine like terms: 24x + -15x = 9x -21 + 9x = 75 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + 9x = 75 + 0 -21 + 9x = 75 Add '21' to each side of the equation. -21 + 21 + 9x = 75 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 75 + 21 9x = 75 + 21 Combine like terms: 75 + 21 = 96 9x = 96 Divide each side by '9'. x = 10.66666667 Simplifying x = 10.66666667
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