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Simplifying 6(3x + -3) = 16(4x + -11) Reorder the terms: 6(-3 + 3x) = 16(4x + -11) (-3 * 6 + 3x * 6) = 16(4x + -11) (-18 + 18x) = 16(4x + -11) Reorder the terms: -18 + 18x = 16(-11 + 4x) -18 + 18x = (-11 * 16 + 4x * 16) -18 + 18x = (-176 + 64x) Solving -18 + 18x = -176 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -18 + 18x + -64x = -176 + 64x + -64x Combine like terms: 18x + -64x = -46x -18 + -46x = -176 + 64x + -64x Combine like terms: 64x + -64x = 0 -18 + -46x = -176 + 0 -18 + -46x = -176 Add '18' to each side of the equation. -18 + 18 + -46x = -176 + 18 Combine like terms: -18 + 18 = 0 0 + -46x = -176 + 18 -46x = -176 + 18 Combine like terms: -176 + 18 = -158 -46x = -158 Divide each side by '-46'. x = 3.434782609 Simplifying x = 3.434782609
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