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Simplifying (3x + -8) * 6x = 4x(4.5x + -4) Reorder the terms: (-8 + 3x) * 6x = 4x(4.5x + -4) Reorder the terms for easier multiplication: 6x(-8 + 3x) = 4x(4.5x + -4) (-8 * 6x + 3x * 6x) = 4x(4.5x + -4) (-48x + 18x2) = 4x(4.5x + -4) Reorder the terms: -48x + 18x2 = 4x(-4 + 4.5x) -48x + 18x2 = (-4 * 4x + 4.5x * 4x) -48x + 18x2 = (-16x + 18x2) Add '-18x2' to each side of the equation. -48x + 18x2 + -18x2 = -16x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -48x + 0 = -16x + 18x2 + -18x2 -48x = -16x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -48x = -16x + 0 -48x = -16x Solving -48x = -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. -48x + 16x = -16x + 16x Combine like terms: -48x + 16x = -32x -32x = -16x + 16x Combine like terms: -16x + 16x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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