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Simplifying 4(3x + 5) + -6(3x + -7) = 11x + 3(2x + -7) Reorder the terms: 4(5 + 3x) + -6(3x + -7) = 11x + 3(2x + -7) (5 * 4 + 3x * 4) + -6(3x + -7) = 11x + 3(2x + -7) (20 + 12x) + -6(3x + -7) = 11x + 3(2x + -7) Reorder the terms: 20 + 12x + -6(-7 + 3x) = 11x + 3(2x + -7) 20 + 12x + (-7 * -6 + 3x * -6) = 11x + 3(2x + -7) 20 + 12x + (42 + -18x) = 11x + 3(2x + -7) Reorder the terms: 20 + 42 + 12x + -18x = 11x + 3(2x + -7) Combine like terms: 20 + 42 = 62 62 + 12x + -18x = 11x + 3(2x + -7) Combine like terms: 12x + -18x = -6x 62 + -6x = 11x + 3(2x + -7) Reorder the terms: 62 + -6x = 11x + 3(-7 + 2x) 62 + -6x = 11x + (-7 * 3 + 2x * 3) 62 + -6x = 11x + (-21 + 6x) Reorder the terms: 62 + -6x = -21 + 11x + 6x Combine like terms: 11x + 6x = 17x 62 + -6x = -21 + 17x Solving 62 + -6x = -21 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 62 + -6x + -17x = -21 + 17x + -17x Combine like terms: -6x + -17x = -23x 62 + -23x = -21 + 17x + -17x Combine like terms: 17x + -17x = 0 62 + -23x = -21 + 0 62 + -23x = -21 Add '-62' to each side of the equation. 62 + -62 + -23x = -21 + -62 Combine like terms: 62 + -62 = 0 0 + -23x = -21 + -62 -23x = -21 + -62 Combine like terms: -21 + -62 = -83 -23x = -83 Divide each side by '-23'. x = 3.608695652 Simplifying x = 3.608695652
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