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Simplifying 4x + -15(6 + -1x) = -8(5 + -3x) 4x + (6 * -15 + -1x * -15) = -8(5 + -3x) 4x + (-90 + 15x) = -8(5 + -3x) Reorder the terms: -90 + 4x + 15x = -8(5 + -3x) Combine like terms: 4x + 15x = 19x -90 + 19x = -8(5 + -3x) -90 + 19x = (5 * -8 + -3x * -8) -90 + 19x = (-40 + 24x) Solving -90 + 19x = -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. -90 + 19x + -24x = -40 + 24x + -24x Combine like terms: 19x + -24x = -5x -90 + -5x = -40 + 24x + -24x Combine like terms: 24x + -24x = 0 -90 + -5x = -40 + 0 -90 + -5x = -40 Add '90' to each side of the equation. -90 + 90 + -5x = -40 + 90 Combine like terms: -90 + 90 = 0 0 + -5x = -40 + 90 -5x = -40 + 90 Combine like terms: -40 + 90 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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