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Simplifying 2(8x + 7) + -6(x + -3) = -1x + 5(x + -8) Reorder the terms: 2(7 + 8x) + -6(x + -3) = -1x + 5(x + -8) (7 * 2 + 8x * 2) + -6(x + -3) = -1x + 5(x + -8) (14 + 16x) + -6(x + -3) = -1x + 5(x + -8) Reorder the terms: 14 + 16x + -6(-3 + x) = -1x + 5(x + -8) 14 + 16x + (-3 * -6 + x * -6) = -1x + 5(x + -8) 14 + 16x + (18 + -6x) = -1x + 5(x + -8) Reorder the terms: 14 + 18 + 16x + -6x = -1x + 5(x + -8) Combine like terms: 14 + 18 = 32 32 + 16x + -6x = -1x + 5(x + -8) Combine like terms: 16x + -6x = 10x 32 + 10x = -1x + 5(x + -8) Reorder the terms: 32 + 10x = -1x + 5(-8 + x) 32 + 10x = -1x + (-8 * 5 + x * 5) 32 + 10x = -1x + (-40 + 5x) Reorder the terms: 32 + 10x = -40 + -1x + 5x Combine like terms: -1x + 5x = 4x 32 + 10x = -40 + 4x Solving 32 + 10x = -40 + 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. 32 + 10x + -4x = -40 + 4x + -4x Combine like terms: 10x + -4x = 6x 32 + 6x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 6x = -40 + 0 32 + 6x = -40 Add '-32' to each side of the equation. 32 + -32 + 6x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = -40 + -32 6x = -40 + -32 Combine like terms: -40 + -32 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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