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Simplifying 5 + -3 = 10x + -7 + -6(x + 1) Combine like terms: 5 + -3 = 2 2 = 10x + -7 + -6(x + 1) Reorder the terms: 2 = 10x + -7 + -6(1 + x) 2 = 10x + -7 + (1 * -6 + x * -6) 2 = 10x + -7 + (-6 + -6x) Reorder the terms: 2 = -7 + -6 + 10x + -6x Combine like terms: -7 + -6 = -13 2 = -13 + 10x + -6x Combine like terms: 10x + -6x = 4x 2 = -13 + 4x Solving 2 = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -4x = -13 + 0 2 + -4x = -13 Add '-2' to each side of the equation. 2 + -2 + -4x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -13 + -2 -4x = -13 + -2 Combine like terms: -13 + -2 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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