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Simplifying 3[30 + x] = 4[x + 19] [30 * 3 + x * 3] = 4[x + 19] [90 + 3x] = 4[x + 19] Reorder the terms: 90 + 3x = 4[19 + x] 90 + 3x = [19 * 4 + x * 4] 90 + 3x = [76 + 4x] Solving 90 + 3x = 76 + 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. 90 + 3x + -4x = 76 + 4x + -4x Combine like terms: 3x + -4x = -1x 90 + -1x = 76 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + -1x = 76 + 0 90 + -1x = 76 Add '-90' to each side of the equation. 90 + -90 + -1x = 76 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 76 + -90 -1x = 76 + -90 Combine like terms: 76 + -90 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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