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Simplifying 5(2x + -3) + 4x = 30 + -1x Reorder the terms: 5(-3 + 2x) + 4x = 30 + -1x (-3 * 5 + 2x * 5) + 4x = 30 + -1x (-15 + 10x) + 4x = 30 + -1x Combine like terms: 10x + 4x = 14x -15 + 14x = 30 + -1x Solving -15 + 14x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 14x + x = 30 + -1x + x Combine like terms: 14x + x = 15x -15 + 15x = 30 + -1x + x Combine like terms: -1x + x = 0 -15 + 15x = 30 + 0 -15 + 15x = 30 Add '15' to each side of the equation. -15 + 15 + 15x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 30 + 15 15x = 30 + 15 Combine like terms: 30 + 15 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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