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