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Simplifying 114 + 5x = 3(-1x + 3) + -11 Reorder the terms: 114 + 5x = 3(3 + -1x) + -11 114 + 5x = (3 * 3 + -1x * 3) + -11 114 + 5x = (9 + -3x) + -11 Reorder the terms: 114 + 5x = 9 + -11 + -3x Combine like terms: 9 + -11 = -2 114 + 5x = -2 + -3x Solving 114 + 5x = -2 + -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. 114 + 5x + 3x = -2 + -3x + 3x Combine like terms: 5x + 3x = 8x 114 + 8x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 114 + 8x = -2 + 0 114 + 8x = -2 Add '-114' to each side of the equation. 114 + -114 + 8x = -2 + -114 Combine like terms: 114 + -114 = 0 0 + 8x = -2 + -114 8x = -2 + -114 Combine like terms: -2 + -114 = -116 8x = -116 Divide each side by '8'. x = -14.5 Simplifying x = -14.5
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