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Simplifying -6(7 + -1x) = 10(x + -3) + -24 (7 * -6 + -1x * -6) = 10(x + -3) + -24 (-42 + 6x) = 10(x + -3) + -24 Reorder the terms: -42 + 6x = 10(-3 + x) + -24 -42 + 6x = (-3 * 10 + x * 10) + -24 -42 + 6x = (-30 + 10x) + -24 Reorder the terms: -42 + 6x = -30 + -24 + 10x Combine like terms: -30 + -24 = -54 -42 + 6x = -54 + 10x Solving -42 + 6x = -54 + 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. -42 + 6x + -10x = -54 + 10x + -10x Combine like terms: 6x + -10x = -4x -42 + -4x = -54 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + -4x = -54 + 0 -42 + -4x = -54 Add '42' to each side of the equation. -42 + 42 + -4x = -54 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -54 + 42 -4x = -54 + 42 Combine like terms: -54 + 42 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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