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Simplifying 7 + -3(4x + -2) = 6(2x + 3) + -17 Reorder the terms: 7 + -3(-2 + 4x) = 6(2x + 3) + -17 7 + (-2 * -3 + 4x * -3) = 6(2x + 3) + -17 7 + (6 + -12x) = 6(2x + 3) + -17 Combine like terms: 7 + 6 = 13 13 + -12x = 6(2x + 3) + -17 Reorder the terms: 13 + -12x = 6(3 + 2x) + -17 13 + -12x = (3 * 6 + 2x * 6) + -17 13 + -12x = (18 + 12x) + -17 Reorder the terms: 13 + -12x = 18 + -17 + 12x Combine like terms: 18 + -17 = 1 13 + -12x = 1 + 12x Solving 13 + -12x = 1 + 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. 13 + -12x + -12x = 1 + 12x + -12x Combine like terms: -12x + -12x = -24x 13 + -24x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -24x = 1 + 0 13 + -24x = 1 Add '-13' to each side of the equation. 13 + -13 + -24x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -24x = 1 + -13 -24x = 1 + -13 Combine like terms: 1 + -13 = -12 -24x = -12 Divide each side by '-24'. x = 0.5 Simplifying x = 0.5
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