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Simplifying (-15x + 7x) + -2 = 2(x + 4) Combine like terms: -15x + 7x = -8x (-8x) + -2 = 2(x + 4) (-8x) + -2 = 2(x + 4) Reorder the terms: -2 + (-8x) = 2(x + 4) Reorder the terms: -2 + (-8x) = 2(4 + x) -2 + (-8x) = (4 * 2 + x * 2) -2 + (-8x) = (8 + 2x) Solving -2 + (-8x) = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + (-8x) + -2x = 8 + 2x + -2x Combine like terms: (-8x) + -2x = -10x -2 + -10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -10x = 8 + 0 -2 + -10x = 8 Add '2' to each side of the equation. -2 + 2 + -10x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 8 + 2 -10x = 8 + 2 Combine like terms: 8 + 2 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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