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Simplifying x + -8 + 3x + 2 = -6(8x + -7) + 4(8x + -2) Reorder the terms: -8 + 2 + x + 3x = -6(8x + -7) + 4(8x + -2) Combine like terms: -8 + 2 = -6 -6 + x + 3x = -6(8x + -7) + 4(8x + -2) Combine like terms: x + 3x = 4x -6 + 4x = -6(8x + -7) + 4(8x + -2) Reorder the terms: -6 + 4x = -6(-7 + 8x) + 4(8x + -2) -6 + 4x = (-7 * -6 + 8x * -6) + 4(8x + -2) -6 + 4x = (42 + -48x) + 4(8x + -2) Reorder the terms: -6 + 4x = 42 + -48x + 4(-2 + 8x) -6 + 4x = 42 + -48x + (-2 * 4 + 8x * 4) -6 + 4x = 42 + -48x + (-8 + 32x) Reorder the terms: -6 + 4x = 42 + -8 + -48x + 32x Combine like terms: 42 + -8 = 34 -6 + 4x = 34 + -48x + 32x Combine like terms: -48x + 32x = -16x -6 + 4x = 34 + -16x Solving -6 + 4x = 34 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + 4x + 16x = 34 + -16x + 16x Combine like terms: 4x + 16x = 20x -6 + 20x = 34 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 20x = 34 + 0 -6 + 20x = 34 Add '6' to each side of the equation. -6 + 6 + 20x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = 34 + 6 20x = 34 + 6 Combine like terms: 34 + 6 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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