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Simplifying -4(3x + -7) = -10x + 52 Reorder the terms: -4(-7 + 3x) = -10x + 52 (-7 * -4 + 3x * -4) = -10x + 52 (28 + -12x) = -10x + 52 Reorder the terms: 28 + -12x = 52 + -10x Solving 28 + -12x = 52 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + -12x + 10x = 52 + -10x + 10x Combine like terms: -12x + 10x = -2x 28 + -2x = 52 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + -2x = 52 + 0 28 + -2x = 52 Add '-28' to each side of the equation. 28 + -28 + -2x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 52 + -28 -2x = 52 + -28 Combine like terms: 52 + -28 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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