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Simplifying -7x + 6 = 2(x + -4) + -5(-8 + 3x) Reorder the terms: 6 + -7x = 2(x + -4) + -5(-8 + 3x) Reorder the terms: 6 + -7x = 2(-4 + x) + -5(-8 + 3x) 6 + -7x = (-4 * 2 + x * 2) + -5(-8 + 3x) 6 + -7x = (-8 + 2x) + -5(-8 + 3x) 6 + -7x = -8 + 2x + (-8 * -5 + 3x * -5) 6 + -7x = -8 + 2x + (40 + -15x) Reorder the terms: 6 + -7x = -8 + 40 + 2x + -15x Combine like terms: -8 + 40 = 32 6 + -7x = 32 + 2x + -15x Combine like terms: 2x + -15x = -13x 6 + -7x = 32 + -13x Solving 6 + -7x = 32 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 6 + -7x + 13x = 32 + -13x + 13x Combine like terms: -7x + 13x = 6x 6 + 6x = 32 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 6x = 32 + 0 6 + 6x = 32 Add '-6' to each side of the equation. 6 + -6 + 6x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 32 + -6 6x = 32 + -6 Combine like terms: 32 + -6 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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