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Simplifying 36(19 + -4.5x) = 14(4x + -7) + 19 (19 * 36 + -4.5x * 36) = 14(4x + -7) + 19 (684 + -162x) = 14(4x + -7) + 19 Reorder the terms: 684 + -162x = 14(-7 + 4x) + 19 684 + -162x = (-7 * 14 + 4x * 14) + 19 684 + -162x = (-98 + 56x) + 19 Reorder the terms: 684 + -162x = -98 + 19 + 56x Combine like terms: -98 + 19 = -79 684 + -162x = -79 + 56x Solving 684 + -162x = -79 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 684 + -162x + -56x = -79 + 56x + -56x Combine like terms: -162x + -56x = -218x 684 + -218x = -79 + 56x + -56x Combine like terms: 56x + -56x = 0 684 + -218x = -79 + 0 684 + -218x = -79 Add '-684' to each side of the equation. 684 + -684 + -218x = -79 + -684 Combine like terms: 684 + -684 = 0 0 + -218x = -79 + -684 -218x = -79 + -684 Combine like terms: -79 + -684 = -763 -218x = -763 Divide each side by '-218'. x = 3.5 Simplifying x = 3.5
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