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Simplifying 6(4x + -3) + 8(2 + -3x) = 4(4x + 3) + -3(5x + 2) Reorder the terms: 6(-3 + 4x) + 8(2 + -3x) = 4(4x + 3) + -3(5x + 2) (-3 * 6 + 4x * 6) + 8(2 + -3x) = 4(4x + 3) + -3(5x + 2) (-18 + 24x) + 8(2 + -3x) = 4(4x + 3) + -3(5x + 2) -18 + 24x + (2 * 8 + -3x * 8) = 4(4x + 3) + -3(5x + 2) -18 + 24x + (16 + -24x) = 4(4x + 3) + -3(5x + 2) Reorder the terms: -18 + 16 + 24x + -24x = 4(4x + 3) + -3(5x + 2) Combine like terms: -18 + 16 = -2 -2 + 24x + -24x = 4(4x + 3) + -3(5x + 2) Combine like terms: 24x + -24x = 0 -2 + 0 = 4(4x + 3) + -3(5x + 2) -2 = 4(4x + 3) + -3(5x + 2) Reorder the terms: -2 = 4(3 + 4x) + -3(5x + 2) -2 = (3 * 4 + 4x * 4) + -3(5x + 2) -2 = (12 + 16x) + -3(5x + 2) Reorder the terms: -2 = 12 + 16x + -3(2 + 5x) -2 = 12 + 16x + (2 * -3 + 5x * -3) -2 = 12 + 16x + (-6 + -15x) Reorder the terms: -2 = 12 + -6 + 16x + -15x Combine like terms: 12 + -6 = 6 -2 = 6 + 16x + -15x Combine like terms: 16x + -15x = 1x -2 = 6 + 1x Solving -2 = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -1x = 6 + 0 -2 + -1x = 6 Add '2' to each side of the equation. -2 + 2 + -1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 6 + 2 -1x = 6 + 2 Combine like terms: 6 + 2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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