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Simplifying 7 + -3(2x + 1) = 5x + 6(3x + -2) Reorder the terms: 7 + -3(1 + 2x) = 5x + 6(3x + -2) 7 + (1 * -3 + 2x * -3) = 5x + 6(3x + -2) 7 + (-3 + -6x) = 5x + 6(3x + -2) Combine like terms: 7 + -3 = 4 4 + -6x = 5x + 6(3x + -2) Reorder the terms: 4 + -6x = 5x + 6(-2 + 3x) 4 + -6x = 5x + (-2 * 6 + 3x * 6) 4 + -6x = 5x + (-12 + 18x) Reorder the terms: 4 + -6x = -12 + 5x + 18x Combine like terms: 5x + 18x = 23x 4 + -6x = -12 + 23x Solving 4 + -6x = -12 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 4 + -6x + -23x = -12 + 23x + -23x Combine like terms: -6x + -23x = -29x 4 + -29x = -12 + 23x + -23x Combine like terms: 23x + -23x = 0 4 + -29x = -12 + 0 4 + -29x = -12 Add '-4' to each side of the equation. 4 + -4 + -29x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -29x = -12 + -4 -29x = -12 + -4 Combine like terms: -12 + -4 = -16 -29x = -16 Divide each side by '-29'. x = 0.5517241379 Simplifying x = 0.5517241379
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