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Simplifying 4x + 9 + -3(x + -6) = 4(2x + 1) + -7 Reorder the terms: 4x + 9 + -3(-6 + x) = 4(2x + 1) + -7 4x + 9 + (-6 * -3 + x * -3) = 4(2x + 1) + -7 4x + 9 + (18 + -3x) = 4(2x + 1) + -7 Reorder the terms: 9 + 18 + 4x + -3x = 4(2x + 1) + -7 Combine like terms: 9 + 18 = 27 27 + 4x + -3x = 4(2x + 1) + -7 Combine like terms: 4x + -3x = 1x 27 + 1x = 4(2x + 1) + -7 Reorder the terms: 27 + 1x = 4(1 + 2x) + -7 27 + 1x = (1 * 4 + 2x * 4) + -7 27 + 1x = (4 + 8x) + -7 Reorder the terms: 27 + 1x = 4 + -7 + 8x Combine like terms: 4 + -7 = -3 27 + 1x = -3 + 8x Solving 27 + 1x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 1x + -8x = -3 + 8x + -8x Combine like terms: 1x + -8x = -7x 27 + -7x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -7x = -3 + 0 27 + -7x = -3 Add '-27' to each side of the equation. 27 + -27 + -7x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -3 + -27 -7x = -3 + -27 Combine like terms: -3 + -27 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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