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Simplifying 37 + 6x = 3 + 8(3x + -7) Reorder the terms: 37 + 6x = 3 + 8(-7 + 3x) 37 + 6x = 3 + (-7 * 8 + 3x * 8) 37 + 6x = 3 + (-56 + 24x) Combine like terms: 3 + -56 = -53 37 + 6x = -53 + 24x Solving 37 + 6x = -53 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 37 + 6x + -24x = -53 + 24x + -24x Combine like terms: 6x + -24x = -18x 37 + -18x = -53 + 24x + -24x Combine like terms: 24x + -24x = 0 37 + -18x = -53 + 0 37 + -18x = -53 Add '-37' to each side of the equation. 37 + -37 + -18x = -53 + -37 Combine like terms: 37 + -37 = 0 0 + -18x = -53 + -37 -18x = -53 + -37 Combine like terms: -53 + -37 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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