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Simplifying 5(2x + -9) + -3 = 5(x + -4) + 7 Reorder the terms: 5(-9 + 2x) + -3 = 5(x + -4) + 7 (-9 * 5 + 2x * 5) + -3 = 5(x + -4) + 7 (-45 + 10x) + -3 = 5(x + -4) + 7 Reorder the terms: -45 + -3 + 10x = 5(x + -4) + 7 Combine like terms: -45 + -3 = -48 -48 + 10x = 5(x + -4) + 7 Reorder the terms: -48 + 10x = 5(-4 + x) + 7 -48 + 10x = (-4 * 5 + x * 5) + 7 -48 + 10x = (-20 + 5x) + 7 Reorder the terms: -48 + 10x = -20 + 7 + 5x Combine like terms: -20 + 7 = -13 -48 + 10x = -13 + 5x Solving -48 + 10x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 10x + -5x = -13 + 5x + -5x Combine like terms: 10x + -5x = 5x -48 + 5x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 5x = -13 + 0 -48 + 5x = -13 Add '48' to each side of the equation. -48 + 48 + 5x = -13 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = -13 + 48 5x = -13 + 48 Combine like terms: -13 + 48 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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