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Simplifying 5 + -3x = -5 + -7(3x + -4) Reorder the terms: 5 + -3x = -5 + -7(-4 + 3x) 5 + -3x = -5 + (-4 * -7 + 3x * -7) 5 + -3x = -5 + (28 + -21x) Combine like terms: -5 + 28 = 23 5 + -3x = 23 + -21x Solving 5 + -3x = 23 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 5 + -3x + 21x = 23 + -21x + 21x Combine like terms: -3x + 21x = 18x 5 + 18x = 23 + -21x + 21x Combine like terms: -21x + 21x = 0 5 + 18x = 23 + 0 5 + 18x = 23 Add '-5' to each side of the equation. 5 + -5 + 18x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 18x = 23 + -5 18x = 23 + -5 Combine like terms: 23 + -5 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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