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Simplifying 5(2x + -6) + -10 = 12 + -3(2x + -6) Reorder the terms: 5(-6 + 2x) + -10 = 12 + -3(2x + -6) (-6 * 5 + 2x * 5) + -10 = 12 + -3(2x + -6) (-30 + 10x) + -10 = 12 + -3(2x + -6) Reorder the terms: -30 + -10 + 10x = 12 + -3(2x + -6) Combine like terms: -30 + -10 = -40 -40 + 10x = 12 + -3(2x + -6) Reorder the terms: -40 + 10x = 12 + -3(-6 + 2x) -40 + 10x = 12 + (-6 * -3 + 2x * -3) -40 + 10x = 12 + (18 + -6x) Combine like terms: 12 + 18 = 30 -40 + 10x = 30 + -6x Solving -40 + 10x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 10x + 6x = 30 + -6x + 6x Combine like terms: 10x + 6x = 16x -40 + 16x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 16x = 30 + 0 -40 + 16x = 30 Add '40' to each side of the equation. -40 + 40 + 16x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 16x = 30 + 40 16x = 30 + 40 Combine like terms: 30 + 40 = 70 16x = 70 Divide each side by '16'. x = 4.375 Simplifying x = 4.375
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