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Simplifying 122 = 6x + 4(-4x + 13) Reorder the terms: 122 = 6x + 4(13 + -4x) 122 = 6x + (13 * 4 + -4x * 4) 122 = 6x + (52 + -16x) Reorder the terms: 122 = 52 + 6x + -16x Combine like terms: 6x + -16x = -10x 122 = 52 + -10x Solving 122 = 52 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 122 + 10x = 52 + -10x + 10x Combine like terms: -10x + 10x = 0 122 + 10x = 52 + 0 122 + 10x = 52 Add '-122' to each side of the equation. 122 + -122 + 10x = 52 + -122 Combine like terms: 122 + -122 = 0 0 + 10x = 52 + -122 10x = 52 + -122 Combine like terms: 52 + -122 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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