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Simplifying 6(x + -5) = 10(x + 3) Reorder the terms: 6(-5 + x) = 10(x + 3) (-5 * 6 + x * 6) = 10(x + 3) (-30 + 6x) = 10(x + 3) Reorder the terms: -30 + 6x = 10(3 + x) -30 + 6x = (3 * 10 + x * 10) -30 + 6x = (30 + 10x) Solving -30 + 6x = 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. -30 + 6x + -10x = 30 + 10x + -10x Combine like terms: 6x + -10x = -4x -30 + -4x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + -4x = 30 + 0 -30 + -4x = 30 Add '30' to each side of the equation. -30 + 30 + -4x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = 30 + 30 -4x = 30 + 30 Combine like terms: 30 + 30 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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