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Simplifying 3x + 2(x + -7) = 10(2x + -4) + -16x + 17 Reorder the terms: 3x + 2(-7 + x) = 10(2x + -4) + -16x + 17 3x + (-7 * 2 + x * 2) = 10(2x + -4) + -16x + 17 3x + (-14 + 2x) = 10(2x + -4) + -16x + 17 Reorder the terms: -14 + 3x + 2x = 10(2x + -4) + -16x + 17 Combine like terms: 3x + 2x = 5x -14 + 5x = 10(2x + -4) + -16x + 17 Reorder the terms: -14 + 5x = 10(-4 + 2x) + -16x + 17 -14 + 5x = (-4 * 10 + 2x * 10) + -16x + 17 -14 + 5x = (-40 + 20x) + -16x + 17 Reorder the terms: -14 + 5x = -40 + 17 + 20x + -16x Combine like terms: -40 + 17 = -23 -14 + 5x = -23 + 20x + -16x Combine like terms: 20x + -16x = 4x -14 + 5x = -23 + 4x Solving -14 + 5x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 5x + -4x = -23 + 4x + -4x Combine like terms: 5x + -4x = 1x -14 + 1x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 1x = -23 + 0 -14 + 1x = -23 Add '14' to each side of the equation. -14 + 14 + 1x = -23 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -23 + 14 1x = -23 + 14 Combine like terms: -23 + 14 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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