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Simplifying 5(3x + -4) + 4(x + -1) = 12 + 4x Reorder the terms: 5(-4 + 3x) + 4(x + -1) = 12 + 4x (-4 * 5 + 3x * 5) + 4(x + -1) = 12 + 4x (-20 + 15x) + 4(x + -1) = 12 + 4x Reorder the terms: -20 + 15x + 4(-1 + x) = 12 + 4x -20 + 15x + (-1 * 4 + x * 4) = 12 + 4x -20 + 15x + (-4 + 4x) = 12 + 4x Reorder the terms: -20 + -4 + 15x + 4x = 12 + 4x Combine like terms: -20 + -4 = -24 -24 + 15x + 4x = 12 + 4x Combine like terms: 15x + 4x = 19x -24 + 19x = 12 + 4x Solving -24 + 19x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 19x + -4x = 12 + 4x + -4x Combine like terms: 19x + -4x = 15x -24 + 15x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 15x = 12 + 0 -24 + 15x = 12 Add '24' to each side of the equation. -24 + 24 + 15x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 12 + 24 15x = 12 + 24 Combine like terms: 12 + 24 = 36 15x = 36 Divide each side by '15'. x = 2.4 Simplifying x = 2.4
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