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Simplifying 4(3x + 7) + -6(3x + -5) = 11x + 3(2x + -6) Reorder the terms: 4(7 + 3x) + -6(3x + -5) = 11x + 3(2x + -6) (7 * 4 + 3x * 4) + -6(3x + -5) = 11x + 3(2x + -6) (28 + 12x) + -6(3x + -5) = 11x + 3(2x + -6) Reorder the terms: 28 + 12x + -6(-5 + 3x) = 11x + 3(2x + -6) 28 + 12x + (-5 * -6 + 3x * -6) = 11x + 3(2x + -6) 28 + 12x + (30 + -18x) = 11x + 3(2x + -6) Reorder the terms: 28 + 30 + 12x + -18x = 11x + 3(2x + -6) Combine like terms: 28 + 30 = 58 58 + 12x + -18x = 11x + 3(2x + -6) Combine like terms: 12x + -18x = -6x 58 + -6x = 11x + 3(2x + -6) Reorder the terms: 58 + -6x = 11x + 3(-6 + 2x) 58 + -6x = 11x + (-6 * 3 + 2x * 3) 58 + -6x = 11x + (-18 + 6x) Reorder the terms: 58 + -6x = -18 + 11x + 6x Combine like terms: 11x + 6x = 17x 58 + -6x = -18 + 17x Solving 58 + -6x = -18 + 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. 58 + -6x + -17x = -18 + 17x + -17x Combine like terms: -6x + -17x = -23x 58 + -23x = -18 + 17x + -17x Combine like terms: 17x + -17x = 0 58 + -23x = -18 + 0 58 + -23x = -18 Add '-58' to each side of the equation. 58 + -58 + -23x = -18 + -58 Combine like terms: 58 + -58 = 0 0 + -23x = -18 + -58 -23x = -18 + -58 Combine like terms: -18 + -58 = -76 -23x = -76 Divide each side by '-23'. x = 3.304347826 Simplifying x = 3.304347826
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