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Simplifying 4(x + 1) + 7 = 2(3x + -5) Reorder the terms: 4(1 + x) + 7 = 2(3x + -5) (1 * 4 + x * 4) + 7 = 2(3x + -5) (4 + 4x) + 7 = 2(3x + -5) Reorder the terms: 4 + 7 + 4x = 2(3x + -5) Combine like terms: 4 + 7 = 11 11 + 4x = 2(3x + -5) Reorder the terms: 11 + 4x = 2(-5 + 3x) 11 + 4x = (-5 * 2 + 3x * 2) 11 + 4x = (-10 + 6x) Solving 11 + 4x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x 11 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -2x = -10 + 0 11 + -2x = -10 Add '-11' to each side of the equation. 11 + -11 + -2x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -10 + -11 -2x = -10 + -11 Combine like terms: -10 + -11 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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