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Simplifying -4(1 + 7x) + -3 = 7(-6x + -3) (1 * -4 + 7x * -4) + -3 = 7(-6x + -3) (-4 + -28x) + -3 = 7(-6x + -3) Reorder the terms: -4 + -3 + -28x = 7(-6x + -3) Combine like terms: -4 + -3 = -7 -7 + -28x = 7(-6x + -3) Reorder the terms: -7 + -28x = 7(-3 + -6x) -7 + -28x = (-3 * 7 + -6x * 7) -7 + -28x = (-21 + -42x) Solving -7 + -28x = -21 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -7 + -28x + 42x = -21 + -42x + 42x Combine like terms: -28x + 42x = 14x -7 + 14x = -21 + -42x + 42x Combine like terms: -42x + 42x = 0 -7 + 14x = -21 + 0 -7 + 14x = -21 Add '7' to each side of the equation. -7 + 7 + 14x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = -21 + 7 14x = -21 + 7 Combine like terms: -21 + 7 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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