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Simplifying -6x + -3(x + -5) + 4 = 6x + -116 Reorder the terms: -6x + -3(-5 + x) + 4 = 6x + -116 -6x + (-5 * -3 + x * -3) + 4 = 6x + -116 -6x + (15 + -3x) + 4 = 6x + -116 Reorder the terms: 15 + 4 + -6x + -3x = 6x + -116 Combine like terms: 15 + 4 = 19 19 + -6x + -3x = 6x + -116 Combine like terms: -6x + -3x = -9x 19 + -9x = 6x + -116 Reorder the terms: 19 + -9x = -116 + 6x Solving 19 + -9x = -116 + 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. 19 + -9x + -6x = -116 + 6x + -6x Combine like terms: -9x + -6x = -15x 19 + -15x = -116 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -15x = -116 + 0 19 + -15x = -116 Add '-19' to each side of the equation. 19 + -19 + -15x = -116 + -19 Combine like terms: 19 + -19 = 0 0 + -15x = -116 + -19 -15x = -116 + -19 Combine like terms: -116 + -19 = -135 -15x = -135 Divide each side by '-15'. x = 9 Simplifying x = 9
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