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Simplifying 3x + -1(-115 + 13x) + 1 = -2x + -4 3x + (-115 * -1 + 13x * -1) + 1 = -2x + -4 3x + (115 + -13x) + 1 = -2x + -4 Reorder the terms: 115 + 1 + 3x + -13x = -2x + -4 Combine like terms: 115 + 1 = 116 116 + 3x + -13x = -2x + -4 Combine like terms: 3x + -13x = -10x 116 + -10x = -2x + -4 Reorder the terms: 116 + -10x = -4 + -2x Solving 116 + -10x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 116 + -10x + 2x = -4 + -2x + 2x Combine like terms: -10x + 2x = -8x 116 + -8x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 116 + -8x = -4 + 0 116 + -8x = -4 Add '-116' to each side of the equation. 116 + -116 + -8x = -4 + -116 Combine like terms: 116 + -116 = 0 0 + -8x = -4 + -116 -8x = -4 + -116 Combine like terms: -4 + -116 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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