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Simplifying 6(3x + 5) + 10 = 7(4x + -12) + 50 Reorder the terms: 6(5 + 3x) + 10 = 7(4x + -12) + 50 (5 * 6 + 3x * 6) + 10 = 7(4x + -12) + 50 (30 + 18x) + 10 = 7(4x + -12) + 50 Reorder the terms: 30 + 10 + 18x = 7(4x + -12) + 50 Combine like terms: 30 + 10 = 40 40 + 18x = 7(4x + -12) + 50 Reorder the terms: 40 + 18x = 7(-12 + 4x) + 50 40 + 18x = (-12 * 7 + 4x * 7) + 50 40 + 18x = (-84 + 28x) + 50 Reorder the terms: 40 + 18x = -84 + 50 + 28x Combine like terms: -84 + 50 = -34 40 + 18x = -34 + 28x Solving 40 + 18x = -34 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 40 + 18x + -28x = -34 + 28x + -28x Combine like terms: 18x + -28x = -10x 40 + -10x = -34 + 28x + -28x Combine like terms: 28x + -28x = 0 40 + -10x = -34 + 0 40 + -10x = -34 Add '-40' to each side of the equation. 40 + -40 + -10x = -34 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = -34 + -40 -10x = -34 + -40 Combine like terms: -34 + -40 = -74 -10x = -74 Divide each side by '-10'. x = 7.4 Simplifying x = 7.4
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