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Simplifying 5(2x + -3) + 4 = 7(x + -3) + -5 Reorder the terms: 5(-3 + 2x) + 4 = 7(x + -3) + -5 (-3 * 5 + 2x * 5) + 4 = 7(x + -3) + -5 (-15 + 10x) + 4 = 7(x + -3) + -5 Reorder the terms: -15 + 4 + 10x = 7(x + -3) + -5 Combine like terms: -15 + 4 = -11 -11 + 10x = 7(x + -3) + -5 Reorder the terms: -11 + 10x = 7(-3 + x) + -5 -11 + 10x = (-3 * 7 + x * 7) + -5 -11 + 10x = (-21 + 7x) + -5 Reorder the terms: -11 + 10x = -21 + -5 + 7x Combine like terms: -21 + -5 = -26 -11 + 10x = -26 + 7x Solving -11 + 10x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + 10x + -7x = -26 + 7x + -7x Combine like terms: 10x + -7x = 3x -11 + 3x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + 3x = -26 + 0 -11 + 3x = -26 Add '11' to each side of the equation. -11 + 11 + 3x = -26 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -26 + 11 3x = -26 + 11 Combine like terms: -26 + 11 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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