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Simplifying 6(4x + -19) = 2(9x + -6) Reorder the terms: 6(-19 + 4x) = 2(9x + -6) (-19 * 6 + 4x * 6) = 2(9x + -6) (-114 + 24x) = 2(9x + -6) Reorder the terms: -114 + 24x = 2(-6 + 9x) -114 + 24x = (-6 * 2 + 9x * 2) -114 + 24x = (-12 + 18x) Solving -114 + 24x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -114 + 24x + -18x = -12 + 18x + -18x Combine like terms: 24x + -18x = 6x -114 + 6x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -114 + 6x = -12 + 0 -114 + 6x = -12 Add '114' to each side of the equation. -114 + 114 + 6x = -12 + 114 Combine like terms: -114 + 114 = 0 0 + 6x = -12 + 114 6x = -12 + 114 Combine like terms: -12 + 114 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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