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Simplifying -7(4 + 6x) = -4(-10 + x) + -4x (4 * -7 + 6x * -7) = -4(-10 + x) + -4x (-28 + -42x) = -4(-10 + x) + -4x -28 + -42x = (-10 * -4 + x * -4) + -4x -28 + -42x = (40 + -4x) + -4x Combine like terms: -4x + -4x = -8x -28 + -42x = 40 + -8x Solving -28 + -42x = 40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -28 + -42x + 8x = 40 + -8x + 8x Combine like terms: -42x + 8x = -34x -28 + -34x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + -34x = 40 + 0 -28 + -34x = 40 Add '28' to each side of the equation. -28 + 28 + -34x = 40 + 28 Combine like terms: -28 + 28 = 0 0 + -34x = 40 + 28 -34x = 40 + 28 Combine like terms: 40 + 28 = 68 -34x = 68 Divide each side by '-34'. x = -2 Simplifying x = -2
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