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Simplifying 6x + 9 = 4(x + -3) + 5 Reorder the terms: 9 + 6x = 4(x + -3) + 5 Reorder the terms: 9 + 6x = 4(-3 + x) + 5 9 + 6x = (-3 * 4 + x * 4) + 5 9 + 6x = (-12 + 4x) + 5 Reorder the terms: 9 + 6x = -12 + 5 + 4x Combine like terms: -12 + 5 = -7 9 + 6x = -7 + 4x Solving 9 + 6x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 6x + -4x = -7 + 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = -7 + 0 9 + 2x = -7 Add '-9' to each side of the equation. 9 + -9 + 2x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -7 + -9 2x = -7 + -9 Combine like terms: -7 + -9 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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