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Simplifying 99 + 9x + 15 + -22x = 4x + 11 + 2x + 160 Reorder the terms: 99 + 15 + 9x + -22x = 4x + 11 + 2x + 160 Combine like terms: 99 + 15 = 114 114 + 9x + -22x = 4x + 11 + 2x + 160 Combine like terms: 9x + -22x = -13x 114 + -13x = 4x + 11 + 2x + 160 Reorder the terms: 114 + -13x = 11 + 160 + 4x + 2x Combine like terms: 11 + 160 = 171 114 + -13x = 171 + 4x + 2x Combine like terms: 4x + 2x = 6x 114 + -13x = 171 + 6x Solving 114 + -13x = 171 + 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. 114 + -13x + -6x = 171 + 6x + -6x Combine like terms: -13x + -6x = -19x 114 + -19x = 171 + 6x + -6x Combine like terms: 6x + -6x = 0 114 + -19x = 171 + 0 114 + -19x = 171 Add '-114' to each side of the equation. 114 + -114 + -19x = 171 + -114 Combine like terms: 114 + -114 = 0 0 + -19x = 171 + -114 -19x = 171 + -114 Combine like terms: 171 + -114 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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