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Simplifying -115 = 4(10 + x) + -3(1 + -5x) -115 = (10 * 4 + x * 4) + -3(1 + -5x) -115 = (40 + 4x) + -3(1 + -5x) -115 = 40 + 4x + (1 * -3 + -5x * -3) -115 = 40 + 4x + (-3 + 15x) Reorder the terms: -115 = 40 + -3 + 4x + 15x Combine like terms: 40 + -3 = 37 -115 = 37 + 4x + 15x Combine like terms: 4x + 15x = 19x -115 = 37 + 19x Solving -115 = 37 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -115 + -19x = 37 + 19x + -19x Combine like terms: 19x + -19x = 0 -115 + -19x = 37 + 0 -115 + -19x = 37 Add '115' to each side of the equation. -115 + 115 + -19x = 37 + 115 Combine like terms: -115 + 115 = 0 0 + -19x = 37 + 115 -19x = 37 + 115 Combine like terms: 37 + 115 = 152 -19x = 152 Divide each side by '-19'. x = -8 Simplifying x = -8
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