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Simplifying -150 = 7x + -2(-4x + -15) Reorder the terms: -150 = 7x + -2(-15 + -4x) -150 = 7x + (-15 * -2 + -4x * -2) -150 = 7x + (30 + 8x) Reorder the terms: -150 = 30 + 7x + 8x Combine like terms: 7x + 8x = 15x -150 = 30 + 15x Solving -150 = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -150 + -15x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -150 + -15x = 30 + 0 -150 + -15x = 30 Add '150' to each side of the equation. -150 + 150 + -15x = 30 + 150 Combine like terms: -150 + 150 = 0 0 + -15x = 30 + 150 -15x = 30 + 150 Combine like terms: 30 + 150 = 180 -15x = 180 Divide each side by '-15'. x = -12 Simplifying x = -12
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