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Simplifying 4(x + -3) = 5(2x + -1) + -1 Reorder the terms: 4(-3 + x) = 5(2x + -1) + -1 (-3 * 4 + x * 4) = 5(2x + -1) + -1 (-12 + 4x) = 5(2x + -1) + -1 Reorder the terms: -12 + 4x = 5(-1 + 2x) + -1 -12 + 4x = (-1 * 5 + 2x * 5) + -1 -12 + 4x = (-5 + 10x) + -1 Reorder the terms: -12 + 4x = -5 + -1 + 10x Combine like terms: -5 + -1 = -6 -12 + 4x = -6 + 10x Solving -12 + 4x = -6 + 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. -12 + 4x + -10x = -6 + 10x + -10x Combine like terms: 4x + -10x = -6x -12 + -6x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -6x = -6 + 0 -12 + -6x = -6 Add '12' to each side of the equation. -12 + 12 + -6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -6 + 12 -6x = -6 + 12 Combine like terms: -6 + 12 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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