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Simplifying 4(x + 1) + 9 = 2(3x + -4) + x Reorder the terms: 4(1 + x) + 9 = 2(3x + -4) + x (1 * 4 + x * 4) + 9 = 2(3x + -4) + x (4 + 4x) + 9 = 2(3x + -4) + x Reorder the terms: 4 + 9 + 4x = 2(3x + -4) + x Combine like terms: 4 + 9 = 13 13 + 4x = 2(3x + -4) + x Reorder the terms: 13 + 4x = 2(-4 + 3x) + x 13 + 4x = (-4 * 2 + 3x * 2) + x 13 + 4x = (-8 + 6x) + x Combine like terms: 6x + x = 7x 13 + 4x = -8 + 7x Solving 13 + 4x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 4x + -7x = -8 + 7x + -7x Combine like terms: 4x + -7x = -3x 13 + -3x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -3x = -8 + 0 13 + -3x = -8 Add '-13' to each side of the equation. 13 + -13 + -3x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -8 + -13 -3x = -8 + -13 Combine like terms: -8 + -13 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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