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Simplifying -4(3x + 10) + -5(-2x + 5) = 6x + -10 Reorder the terms: -4(10 + 3x) + -5(-2x + 5) = 6x + -10 (10 * -4 + 3x * -4) + -5(-2x + 5) = 6x + -10 (-40 + -12x) + -5(-2x + 5) = 6x + -10 Reorder the terms: -40 + -12x + -5(5 + -2x) = 6x + -10 -40 + -12x + (5 * -5 + -2x * -5) = 6x + -10 -40 + -12x + (-25 + 10x) = 6x + -10 Reorder the terms: -40 + -25 + -12x + 10x = 6x + -10 Combine like terms: -40 + -25 = -65 -65 + -12x + 10x = 6x + -10 Combine like terms: -12x + 10x = -2x -65 + -2x = 6x + -10 Reorder the terms: -65 + -2x = -10 + 6x Solving -65 + -2x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -65 + -2x + -6x = -10 + 6x + -6x Combine like terms: -2x + -6x = -8x -65 + -8x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -65 + -8x = -10 + 0 -65 + -8x = -10 Add '65' to each side of the equation. -65 + 65 + -8x = -10 + 65 Combine like terms: -65 + 65 = 0 0 + -8x = -10 + 65 -8x = -10 + 65 Combine like terms: -10 + 65 = 55 -8x = 55 Divide each side by '-8'. x = -6.875 Simplifying x = -6.875
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