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Simplifying 7 + -4(2x + 1) = 4x + 3(x + -9) Reorder the terms: 7 + -4(1 + 2x) = 4x + 3(x + -9) 7 + (1 * -4 + 2x * -4) = 4x + 3(x + -9) 7 + (-4 + -8x) = 4x + 3(x + -9) Combine like terms: 7 + -4 = 3 3 + -8x = 4x + 3(x + -9) Reorder the terms: 3 + -8x = 4x + 3(-9 + x) 3 + -8x = 4x + (-9 * 3 + x * 3) 3 + -8x = 4x + (-27 + 3x) Reorder the terms: 3 + -8x = -27 + 4x + 3x Combine like terms: 4x + 3x = 7x 3 + -8x = -27 + 7x Solving 3 + -8x = -27 + 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. 3 + -8x + -7x = -27 + 7x + -7x Combine like terms: -8x + -7x = -15x 3 + -15x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -15x = -27 + 0 3 + -15x = -27 Add '-3' to each side of the equation. 3 + -3 + -15x = -27 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = -27 + -3 -15x = -27 + -3 Combine like terms: -27 + -3 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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