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Simplifying 4x + -7 = 3(2x + 5) + -2 Reorder the terms: -7 + 4x = 3(2x + 5) + -2 Reorder the terms: -7 + 4x = 3(5 + 2x) + -2 -7 + 4x = (5 * 3 + 2x * 3) + -2 -7 + 4x = (15 + 6x) + -2 Reorder the terms: -7 + 4x = 15 + -2 + 6x Combine like terms: 15 + -2 = 13 -7 + 4x = 13 + 6x Solving -7 + 4x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 4x + -6x = 13 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = 13 + 0 -7 + -2x = 13 Add '7' to each side of the equation. -7 + 7 + -2x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 13 + 7 -2x = 13 + 7 Combine like terms: 13 + 7 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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