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Simplifying 5x + 4 = 7(x + -3) + 17 Reorder the terms: 4 + 5x = 7(x + -3) + 17 Reorder the terms: 4 + 5x = 7(-3 + x) + 17 4 + 5x = (-3 * 7 + x * 7) + 17 4 + 5x = (-21 + 7x) + 17 Reorder the terms: 4 + 5x = -21 + 17 + 7x Combine like terms: -21 + 17 = -4 4 + 5x = -4 + 7x Solving 4 + 5x = -4 + 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. 4 + 5x + -7x = -4 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = -4 + 0 4 + -2x = -4 Add '-4' to each side of the equation. 4 + -4 + -2x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -4 + -4 -2x = -4 + -4 Combine like terms: -4 + -4 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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