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