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Simplifying 5(x + -3) + -3(4 + -2x) = 3 + -5(8 + -3x) Reorder the terms: 5(-3 + x) + -3(4 + -2x) = 3 + -5(8 + -3x) (-3 * 5 + x * 5) + -3(4 + -2x) = 3 + -5(8 + -3x) (-15 + 5x) + -3(4 + -2x) = 3 + -5(8 + -3x) -15 + 5x + (4 * -3 + -2x * -3) = 3 + -5(8 + -3x) -15 + 5x + (-12 + 6x) = 3 + -5(8 + -3x) Reorder the terms: -15 + -12 + 5x + 6x = 3 + -5(8 + -3x) Combine like terms: -15 + -12 = -27 -27 + 5x + 6x = 3 + -5(8 + -3x) Combine like terms: 5x + 6x = 11x -27 + 11x = 3 + -5(8 + -3x) -27 + 11x = 3 + (8 * -5 + -3x * -5) -27 + 11x = 3 + (-40 + 15x) Combine like terms: 3 + -40 = -37 -27 + 11x = -37 + 15x Solving -27 + 11x = -37 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -27 + 11x + -15x = -37 + 15x + -15x Combine like terms: 11x + -15x = -4x -27 + -4x = -37 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + -4x = -37 + 0 -27 + -4x = -37 Add '27' to each side of the equation. -27 + 27 + -4x = -37 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = -37 + 27 -4x = -37 + 27 Combine like terms: -37 + 27 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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