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Simplifying -4(2x + 3) + 6x = 4(3x + -8) + 2x Reorder the terms: -4(3 + 2x) + 6x = 4(3x + -8) + 2x (3 * -4 + 2x * -4) + 6x = 4(3x + -8) + 2x (-12 + -8x) + 6x = 4(3x + -8) + 2x Combine like terms: -8x + 6x = -2x -12 + -2x = 4(3x + -8) + 2x Reorder the terms: -12 + -2x = 4(-8 + 3x) + 2x -12 + -2x = (-8 * 4 + 3x * 4) + 2x -12 + -2x = (-32 + 12x) + 2x Combine like terms: 12x + 2x = 14x -12 + -2x = -32 + 14x Solving -12 + -2x = -32 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + -2x + -14x = -32 + 14x + -14x Combine like terms: -2x + -14x = -16x -12 + -16x = -32 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -16x = -32 + 0 -12 + -16x = -32 Add '12' to each side of the equation. -12 + 12 + -16x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = -32 + 12 -16x = -32 + 12 Combine like terms: -32 + 12 = -20 -16x = -20 Divide each side by '-16'. x = 1.25 Simplifying x = 1.25
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