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Simplifying 4(2x + -7) = 3(4x + -9) Reorder the terms: 4(-7 + 2x) = 3(4x + -9) (-7 * 4 + 2x * 4) = 3(4x + -9) (-28 + 8x) = 3(4x + -9) Reorder the terms: -28 + 8x = 3(-9 + 4x) -28 + 8x = (-9 * 3 + 4x * 3) -28 + 8x = (-27 + 12x) Solving -28 + 8x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 8x + -12x = -27 + 12x + -12x Combine like terms: 8x + -12x = -4x -28 + -4x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + -4x = -27 + 0 -28 + -4x = -27 Add '28' to each side of the equation. -28 + 28 + -4x = -27 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = -27 + 28 -4x = -27 + 28 Combine like terms: -27 + 28 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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