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Simplifying 5(6 + -3x) + -1(x + -6) = 3x + -7x (6 * 5 + -3x * 5) + -1(x + -6) = 3x + -7x (30 + -15x) + -1(x + -6) = 3x + -7x Reorder the terms: 30 + -15x + -1(-6 + x) = 3x + -7x 30 + -15x + (-6 * -1 + x * -1) = 3x + -7x 30 + -15x + (6 + -1x) = 3x + -7x Reorder the terms: 30 + 6 + -15x + -1x = 3x + -7x Combine like terms: 30 + 6 = 36 36 + -15x + -1x = 3x + -7x Combine like terms: -15x + -1x = -16x 36 + -16x = 3x + -7x Combine like terms: 3x + -7x = -4x 36 + -16x = -4x Solving 36 + -16x = -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. 36 + -16x + 4x = -4x + 4x Combine like terms: -16x + 4x = -12x 36 + -12x = -4x + 4x Combine like terms: -4x + 4x = 0 36 + -12x = 0 Add '-36' to each side of the equation. 36 + -36 + -12x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 0 + -36 -12x = 0 + -36 Combine like terms: 0 + -36 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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