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Simplifying 4(x + -3) = 10x + -1(2x + -36) Reorder the terms: 4(-3 + x) = 10x + -1(2x + -36) (-3 * 4 + x * 4) = 10x + -1(2x + -36) (-12 + 4x) = 10x + -1(2x + -36) Reorder the terms: -12 + 4x = 10x + -1(-36 + 2x) -12 + 4x = 10x + (-36 * -1 + 2x * -1) -12 + 4x = 10x + (36 + -2x) Reorder the terms: -12 + 4x = 36 + 10x + -2x Combine like terms: 10x + -2x = 8x -12 + 4x = 36 + 8x Solving -12 + 4x = 36 + 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. -12 + 4x + -8x = 36 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = 36 + 0 -12 + -4x = 36 Add '12' to each side of the equation. -12 + 12 + -4x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 36 + 12 -4x = 36 + 12 Combine like terms: 36 + 12 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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