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Simplifying 5x + -7 + 2x = 5(3x + -3) + 4 Reorder the terms: -7 + 5x + 2x = 5(3x + -3) + 4 Combine like terms: 5x + 2x = 7x -7 + 7x = 5(3x + -3) + 4 Reorder the terms: -7 + 7x = 5(-3 + 3x) + 4 -7 + 7x = (-3 * 5 + 3x * 5) + 4 -7 + 7x = (-15 + 15x) + 4 Reorder the terms: -7 + 7x = -15 + 4 + 15x Combine like terms: -15 + 4 = -11 -7 + 7x = -11 + 15x Solving -7 + 7x = -11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7 + 7x + -15x = -11 + 15x + -15x Combine like terms: 7x + -15x = -8x -7 + -8x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -8x = -11 + 0 -7 + -8x = -11 Add '7' to each side of the equation. -7 + 7 + -8x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -11 + 7 -8x = -11 + 7 Combine like terms: -11 + 7 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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