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Simplifying 10(3x + 3) + 5(2x + -8) = 8(3x + -5) Reorder the terms: 10(3 + 3x) + 5(2x + -8) = 8(3x + -5) (3 * 10 + 3x * 10) + 5(2x + -8) = 8(3x + -5) (30 + 30x) + 5(2x + -8) = 8(3x + -5) Reorder the terms: 30 + 30x + 5(-8 + 2x) = 8(3x + -5) 30 + 30x + (-8 * 5 + 2x * 5) = 8(3x + -5) 30 + 30x + (-40 + 10x) = 8(3x + -5) Reorder the terms: 30 + -40 + 30x + 10x = 8(3x + -5) Combine like terms: 30 + -40 = -10 -10 + 30x + 10x = 8(3x + -5) Combine like terms: 30x + 10x = 40x -10 + 40x = 8(3x + -5) Reorder the terms: -10 + 40x = 8(-5 + 3x) -10 + 40x = (-5 * 8 + 3x * 8) -10 + 40x = (-40 + 24x) Solving -10 + 40x = -40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 40x + -24x = -40 + 24x + -24x Combine like terms: 40x + -24x = 16x -10 + 16x = -40 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + 16x = -40 + 0 -10 + 16x = -40 Add '10' to each side of the equation. -10 + 10 + 16x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = -40 + 10 16x = -40 + 10 Combine like terms: -40 + 10 = -30 16x = -30 Divide each side by '16'. x = -1.875 Simplifying x = -1.875
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