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Simplifying 5x(2) + -3 = 3x + -8x + 7 Reorder the terms for easier multiplication: 5 * 2x + -3 = 3x + -8x + 7 Multiply 5 * 2 10x + -3 = 3x + -8x + 7 Reorder the terms: -3 + 10x = 3x + -8x + 7 Reorder the terms: -3 + 10x = 7 + 3x + -8x Combine like terms: 3x + -8x = -5x -3 + 10x = 7 + -5x Solving -3 + 10x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 10x + 5x = 7 + -5x + 5x Combine like terms: 10x + 5x = 15x -3 + 15x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 15x = 7 + 0 -3 + 15x = 7 Add '3' to each side of the equation. -3 + 3 + 15x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 7 + 3 15x = 7 + 3 Combine like terms: 7 + 3 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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