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Simplifying 5(x + -3) + -6x = 10(3 + -1x) Reorder the terms: 5(-3 + x) + -6x = 10(3 + -1x) (-3 * 5 + x * 5) + -6x = 10(3 + -1x) (-15 + 5x) + -6x = 10(3 + -1x) Combine like terms: 5x + -6x = -1x -15 + -1x = 10(3 + -1x) -15 + -1x = (3 * 10 + -1x * 10) -15 + -1x = (30 + -10x) Solving -15 + -1x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + -1x + 10x = 30 + -10x + 10x Combine like terms: -1x + 10x = 9x -15 + 9x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 9x = 30 + 0 -15 + 9x = 30 Add '15' to each side of the equation. -15 + 15 + 9x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 30 + 15 9x = 30 + 15 Combine like terms: 30 + 15 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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