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Simplifying -6(2x + 1) + -3(3x + -4) = -15x + 1 Reorder the terms: -6(1 + 2x) + -3(3x + -4) = -15x + 1 (1 * -6 + 2x * -6) + -3(3x + -4) = -15x + 1 (-6 + -12x) + -3(3x + -4) = -15x + 1 Reorder the terms: -6 + -12x + -3(-4 + 3x) = -15x + 1 -6 + -12x + (-4 * -3 + 3x * -3) = -15x + 1 -6 + -12x + (12 + -9x) = -15x + 1 Reorder the terms: -6 + 12 + -12x + -9x = -15x + 1 Combine like terms: -6 + 12 = 6 6 + -12x + -9x = -15x + 1 Combine like terms: -12x + -9x = -21x 6 + -21x = -15x + 1 Reorder the terms: 6 + -21x = 1 + -15x Solving 6 + -21x = 1 + -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. 6 + -21x + 15x = 1 + -15x + 15x Combine like terms: -21x + 15x = -6x 6 + -6x = 1 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + -6x = 1 + 0 6 + -6x = 1 Add '-6' to each side of the equation. 6 + -6 + -6x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 1 + -6 -6x = 1 + -6 Combine like terms: 1 + -6 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333
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