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Simplifying 6(19 + -1x) = 4(x + 11) (19 * 6 + -1x * 6) = 4(x + 11) (114 + -6x) = 4(x + 11) Reorder the terms: 114 + -6x = 4(11 + x) 114 + -6x = (11 * 4 + x * 4) 114 + -6x = (44 + 4x) Solving 114 + -6x = 44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 114 + -6x + -4x = 44 + 4x + -4x Combine like terms: -6x + -4x = -10x 114 + -10x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 114 + -10x = 44 + 0 114 + -10x = 44 Add '-114' to each side of the equation. 114 + -114 + -10x = 44 + -114 Combine like terms: 114 + -114 = 0 0 + -10x = 44 + -114 -10x = 44 + -114 Combine like terms: 44 + -114 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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