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Simplifying 5x + 7 + -3x = 4(x + -7) + 3x Reorder the terms: 7 + 5x + -3x = 4(x + -7) + 3x Combine like terms: 5x + -3x = 2x 7 + 2x = 4(x + -7) + 3x Reorder the terms: 7 + 2x = 4(-7 + x) + 3x 7 + 2x = (-7 * 4 + x * 4) + 3x 7 + 2x = (-28 + 4x) + 3x Combine like terms: 4x + 3x = 7x 7 + 2x = -28 + 7x Solving 7 + 2x = -28 + 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. 7 + 2x + -7x = -28 + 7x + -7x Combine like terms: 2x + -7x = -5x 7 + -5x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -5x = -28 + 0 7 + -5x = -28 Add '-7' to each side of the equation. 7 + -7 + -5x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -28 + -7 -5x = -28 + -7 Combine like terms: -28 + -7 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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