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Simplifying 6x + -1(-4) + 11x + 8 = -6 + 4x + -1x + -10 Multiply -1 * -4 6x + 4 + 11x + 8 = -6 + 4x + -1x + -10 Reorder the terms: 4 + 8 + 6x + 11x = -6 + 4x + -1x + -10 Combine like terms: 4 + 8 = 12 12 + 6x + 11x = -6 + 4x + -1x + -10 Combine like terms: 6x + 11x = 17x 12 + 17x = -6 + 4x + -1x + -10 Reorder the terms: 12 + 17x = -6 + -10 + 4x + -1x Combine like terms: -6 + -10 = -16 12 + 17x = -16 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + 17x = -16 + 3x Solving 12 + 17x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 17x + -3x = -16 + 3x + -3x Combine like terms: 17x + -3x = 14x 12 + 14x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 14x = -16 + 0 12 + 14x = -16 Add '-12' to each side of the equation. 12 + -12 + 14x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -16 + -12 14x = -16 + -12 Combine like terms: -16 + -12 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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