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Simplifying 4x + 2(3x + -7) = 5x + 2(4x + -3) Reorder the terms: 4x + 2(-7 + 3x) = 5x + 2(4x + -3) 4x + (-7 * 2 + 3x * 2) = 5x + 2(4x + -3) 4x + (-14 + 6x) = 5x + 2(4x + -3) Reorder the terms: -14 + 4x + 6x = 5x + 2(4x + -3) Combine like terms: 4x + 6x = 10x -14 + 10x = 5x + 2(4x + -3) Reorder the terms: -14 + 10x = 5x + 2(-3 + 4x) -14 + 10x = 5x + (-3 * 2 + 4x * 2) -14 + 10x = 5x + (-6 + 8x) Reorder the terms: -14 + 10x = -6 + 5x + 8x Combine like terms: 5x + 8x = 13x -14 + 10x = -6 + 13x Solving -14 + 10x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -14 + 10x + -13x = -6 + 13x + -13x Combine like terms: 10x + -13x = -3x -14 + -3x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 -14 + -3x = -6 + 0 -14 + -3x = -6 Add '14' to each side of the equation. -14 + 14 + -3x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -6 + 14 -3x = -6 + 14 Combine like terms: -6 + 14 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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