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Simplifying 10(3x + -7) + -12x = 4(5x + 2) + -50 Reorder the terms: 10(-7 + 3x) + -12x = 4(5x + 2) + -50 (-7 * 10 + 3x * 10) + -12x = 4(5x + 2) + -50 (-70 + 30x) + -12x = 4(5x + 2) + -50 Combine like terms: 30x + -12x = 18x -70 + 18x = 4(5x + 2) + -50 Reorder the terms: -70 + 18x = 4(2 + 5x) + -50 -70 + 18x = (2 * 4 + 5x * 4) + -50 -70 + 18x = (8 + 20x) + -50 Reorder the terms: -70 + 18x = 8 + -50 + 20x Combine like terms: 8 + -50 = -42 -70 + 18x = -42 + 20x Solving -70 + 18x = -42 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -70 + 18x + -20x = -42 + 20x + -20x Combine like terms: 18x + -20x = -2x -70 + -2x = -42 + 20x + -20x Combine like terms: 20x + -20x = 0 -70 + -2x = -42 + 0 -70 + -2x = -42 Add '70' to each side of the equation. -70 + 70 + -2x = -42 + 70 Combine like terms: -70 + 70 = 0 0 + -2x = -42 + 70 -2x = -42 + 70 Combine like terms: -42 + 70 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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