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Simplifying 5(3x + -4) = 4(4x + 3) Reorder the terms: 5(-4 + 3x) = 4(4x + 3) (-4 * 5 + 3x * 5) = 4(4x + 3) (-20 + 15x) = 4(4x + 3) Reorder the terms: -20 + 15x = 4(3 + 4x) -20 + 15x = (3 * 4 + 4x * 4) -20 + 15x = (12 + 16x) Solving -20 + 15x = 12 + 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. -20 + 15x + -16x = 12 + 16x + -16x Combine like terms: 15x + -16x = -1x -20 + -1x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + -1x = 12 + 0 -20 + -1x = 12 Add '20' to each side of the equation. -20 + 20 + -1x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 12 + 20 -1x = 12 + 20 Combine like terms: 12 + 20 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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