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Simplifying 4x + -7 + 2(3x + 10) = 3(2x + 5) + -6 Reorder the terms: 4x + -7 + 2(10 + 3x) = 3(2x + 5) + -6 4x + -7 + (10 * 2 + 3x * 2) = 3(2x + 5) + -6 4x + -7 + (20 + 6x) = 3(2x + 5) + -6 Reorder the terms: -7 + 20 + 4x + 6x = 3(2x + 5) + -6 Combine like terms: -7 + 20 = 13 13 + 4x + 6x = 3(2x + 5) + -6 Combine like terms: 4x + 6x = 10x 13 + 10x = 3(2x + 5) + -6 Reorder the terms: 13 + 10x = 3(5 + 2x) + -6 13 + 10x = (5 * 3 + 2x * 3) + -6 13 + 10x = (15 + 6x) + -6 Reorder the terms: 13 + 10x = 15 + -6 + 6x Combine like terms: 15 + -6 = 9 13 + 10x = 9 + 6x Solving 13 + 10x = 9 + 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. 13 + 10x + -6x = 9 + 6x + -6x Combine like terms: 10x + -6x = 4x 13 + 4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 4x = 9 + 0 13 + 4x = 9 Add '-13' to each side of the equation. 13 + -13 + 4x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 9 + -13 4x = 9 + -13 Combine like terms: 9 + -13 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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