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