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Simplifying 4(x + 1) + 7 = 5(2x + -3) Reorder the terms: 4(1 + x) + 7 = 5(2x + -3) (1 * 4 + x * 4) + 7 = 5(2x + -3) (4 + 4x) + 7 = 5(2x + -3) Reorder the terms: 4 + 7 + 4x = 5(2x + -3) Combine like terms: 4 + 7 = 11 11 + 4x = 5(2x + -3) Reorder the terms: 11 + 4x = 5(-3 + 2x) 11 + 4x = (-3 * 5 + 2x * 5) 11 + 4x = (-15 + 10x) Solving 11 + 4x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 4x + -10x = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x 11 + -6x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -6x = -15 + 0 11 + -6x = -15 Add '-11' to each side of the equation. 11 + -11 + -6x = -15 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -15 + -11 -6x = -15 + -11 Combine like terms: -15 + -11 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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