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Simplifying 5(2x + -3) + -6 = 4x + 3 Reorder the terms: 5(-3 + 2x) + -6 = 4x + 3 (-3 * 5 + 2x * 5) + -6 = 4x + 3 (-15 + 10x) + -6 = 4x + 3 Reorder the terms: -15 + -6 + 10x = 4x + 3 Combine like terms: -15 + -6 = -21 -21 + 10x = 4x + 3 Reorder the terms: -21 + 10x = 3 + 4x Solving -21 + 10x = 3 + 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. -21 + 10x + -4x = 3 + 4x + -4x Combine like terms: 10x + -4x = 6x -21 + 6x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 6x = 3 + 0 -21 + 6x = 3 Add '21' to each side of the equation. -21 + 21 + 6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 3 + 21 6x = 3 + 21 Combine like terms: 3 + 21 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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