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Simplifying 8(3x + -2) + -4(4x + -3) = 6(4 + -1x) Reorder the terms: 8(-2 + 3x) + -4(4x + -3) = 6(4 + -1x) (-2 * 8 + 3x * 8) + -4(4x + -3) = 6(4 + -1x) (-16 + 24x) + -4(4x + -3) = 6(4 + -1x) Reorder the terms: -16 + 24x + -4(-3 + 4x) = 6(4 + -1x) -16 + 24x + (-3 * -4 + 4x * -4) = 6(4 + -1x) -16 + 24x + (12 + -16x) = 6(4 + -1x) Reorder the terms: -16 + 12 + 24x + -16x = 6(4 + -1x) Combine like terms: -16 + 12 = -4 -4 + 24x + -16x = 6(4 + -1x) Combine like terms: 24x + -16x = 8x -4 + 8x = 6(4 + -1x) -4 + 8x = (4 * 6 + -1x * 6) -4 + 8x = (24 + -6x) Solving -4 + 8x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 8x + 6x = 24 + -6x + 6x Combine like terms: 8x + 6x = 14x -4 + 14x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = 24 + 0 -4 + 14x = 24 Add '4' to each side of the equation. -4 + 4 + 14x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 24 + 4 14x = 24 + 4 Combine like terms: 24 + 4 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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