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Simplifying 3(4x + -5) + -9 = 4(4x + -7) Reorder the terms: 3(-5 + 4x) + -9 = 4(4x + -7) (-5 * 3 + 4x * 3) + -9 = 4(4x + -7) (-15 + 12x) + -9 = 4(4x + -7) Reorder the terms: -15 + -9 + 12x = 4(4x + -7) Combine like terms: -15 + -9 = -24 -24 + 12x = 4(4x + -7) Reorder the terms: -24 + 12x = 4(-7 + 4x) -24 + 12x = (-7 * 4 + 4x * 4) -24 + 12x = (-28 + 16x) Solving -24 + 12x = -28 + 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. -24 + 12x + -16x = -28 + 16x + -16x Combine like terms: 12x + -16x = -4x -24 + -4x = -28 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -4x = -28 + 0 -24 + -4x = -28 Add '24' to each side of the equation. -24 + 24 + -4x = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -28 + 24 -4x = -28 + 24 Combine like terms: -28 + 24 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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