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Simplifying 10 + -4(x + 3) + 2x = -2x + 5(x + 2) + -17 Reorder the terms: 10 + -4(3 + x) + 2x = -2x + 5(x + 2) + -17 10 + (3 * -4 + x * -4) + 2x = -2x + 5(x + 2) + -17 10 + (-12 + -4x) + 2x = -2x + 5(x + 2) + -17 Combine like terms: 10 + -12 = -2 -2 + -4x + 2x = -2x + 5(x + 2) + -17 Combine like terms: -4x + 2x = -2x -2 + -2x = -2x + 5(x + 2) + -17 Reorder the terms: -2 + -2x = -2x + 5(2 + x) + -17 -2 + -2x = -2x + (2 * 5 + x * 5) + -17 -2 + -2x = -2x + (10 + 5x) + -17 Reorder the terms: -2 + -2x = 10 + -17 + -2x + 5x Combine like terms: 10 + -17 = -7 -2 + -2x = -7 + -2x + 5x Combine like terms: -2x + 5x = 3x -2 + -2x = -7 + 3x Solving -2 + -2x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -2x + -3x = -7 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = -7 + 0 -2 + -5x = -7 Add '2' to each side of the equation. -2 + 2 + -5x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -7 + 2 -5x = -7 + 2 Combine like terms: -7 + 2 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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