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Simplifying 5(2 + -4) + -1 = 3x + 7(x + -3) Combine like terms: 2 + -4 = -2 5(-2) + -1 = 3x + 7(x + -3) Multiply 5 * -2 -10 + -1 = 3x + 7(x + -3) Combine like terms: -10 + -1 = -11 -11 = 3x + 7(x + -3) Reorder the terms: -11 = 3x + 7(-3 + x) -11 = 3x + (-3 * 7 + x * 7) -11 = 3x + (-21 + 7x) Reorder the terms: -11 = -21 + 3x + 7x Combine like terms: 3x + 7x = 10x -11 = -21 + 10x Solving -11 = -21 + 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. -11 + -10x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + -10x = -21 + 0 -11 + -10x = -21 Add '11' to each side of the equation. -11 + 11 + -10x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = -21 + 11 -10x = -21 + 11 Combine like terms: -21 + 11 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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