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Simplifying 6(4x + 10) = -3x + 6(2x + -9) Reorder the terms: 6(10 + 4x) = -3x + 6(2x + -9) (10 * 6 + 4x * 6) = -3x + 6(2x + -9) (60 + 24x) = -3x + 6(2x + -9) Reorder the terms: 60 + 24x = -3x + 6(-9 + 2x) 60 + 24x = -3x + (-9 * 6 + 2x * 6) 60 + 24x = -3x + (-54 + 12x) Reorder the terms: 60 + 24x = -54 + -3x + 12x Combine like terms: -3x + 12x = 9x 60 + 24x = -54 + 9x Solving 60 + 24x = -54 + 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. 60 + 24x + -9x = -54 + 9x + -9x Combine like terms: 24x + -9x = 15x 60 + 15x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 60 + 15x = -54 + 0 60 + 15x = -54 Add '-60' to each side of the equation. 60 + -60 + 15x = -54 + -60 Combine like terms: 60 + -60 = 0 0 + 15x = -54 + -60 15x = -54 + -60 Combine like terms: -54 + -60 = -114 15x = -114 Divide each side by '15'. x = -7.6 Simplifying x = -7.6
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