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Simplifying 5(2x + -10) + -8 = 3(4x + 1) Reorder the terms: 5(-10 + 2x) + -8 = 3(4x + 1) (-10 * 5 + 2x * 5) + -8 = 3(4x + 1) (-50 + 10x) + -8 = 3(4x + 1) Reorder the terms: -50 + -8 + 10x = 3(4x + 1) Combine like terms: -50 + -8 = -58 -58 + 10x = 3(4x + 1) Reorder the terms: -58 + 10x = 3(1 + 4x) -58 + 10x = (1 * 3 + 4x * 3) -58 + 10x = (3 + 12x) Solving -58 + 10x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -58 + 10x + -12x = 3 + 12x + -12x Combine like terms: 10x + -12x = -2x -58 + -2x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -58 + -2x = 3 + 0 -58 + -2x = 3 Add '58' to each side of the equation. -58 + 58 + -2x = 3 + 58 Combine like terms: -58 + 58 = 0 0 + -2x = 3 + 58 -2x = 3 + 58 Combine like terms: 3 + 58 = 61 -2x = 61 Divide each side by '-2'. x = -30.5 Simplifying x = -30.5
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