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Simplifying 4(x + -3) = 10x + -1(x + -7) Reorder the terms: 4(-3 + x) = 10x + -1(x + -7) (-3 * 4 + x * 4) = 10x + -1(x + -7) (-12 + 4x) = 10x + -1(x + -7) Reorder the terms: -12 + 4x = 10x + -1(-7 + x) -12 + 4x = 10x + (-7 * -1 + x * -1) -12 + 4x = 10x + (7 + -1x) Reorder the terms: -12 + 4x = 7 + 10x + -1x Combine like terms: 10x + -1x = 9x -12 + 4x = 7 + 9x Solving -12 + 4x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 4x + -9x = 7 + 9x + -9x Combine like terms: 4x + -9x = -5x -12 + -5x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -5x = 7 + 0 -12 + -5x = 7 Add '12' to each side of the equation. -12 + 12 + -5x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 7 + 12 -5x = 7 + 12 Combine like terms: 7 + 12 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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