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Simplifying 5x + -7 + -1(x + 6) = 6x + -10 Reorder the terms: 5x + -7 + -1(6 + x) = 6x + -10 5x + -7 + (6 * -1 + x * -1) = 6x + -10 5x + -7 + (-6 + -1x) = 6x + -10 Reorder the terms: -7 + -6 + 5x + -1x = 6x + -10 Combine like terms: -7 + -6 = -13 -13 + 5x + -1x = 6x + -10 Combine like terms: 5x + -1x = 4x -13 + 4x = 6x + -10 Reorder the terms: -13 + 4x = -10 + 6x Solving -13 + 4x = -10 + 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 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x -13 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -2x = -10 + 0 -13 + -2x = -10 Add '13' to each side of the equation. -13 + 13 + -2x = -10 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -10 + 13 -2x = -10 + 13 Combine like terms: -10 + 13 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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